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Finding the Third Proportional to 504,020,605.50 and 790,659,542.50

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Solution

The third proportional to 504,020,605.50 and 790,659,542.50 is: 1,240,311,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,020,605.50 : 790,659,542.50 = 790,659,542.50 : x
  2. Step 2: Convert to fraction form
    504,020,605.50/790,659,542.50 = 790,659,542.50/x
  3. Step 3: Cross multiply
    504,020,605.50x = 790,659,542.50 × 790,659,542.50
  4. Step 4: Simplify right side
    504,020,605.50x = 625,142,512,146,309,248
  5. Step 5: Solve for x
    x = 625,142,512,146,309,248/504,020,605.50
  6. Step 6: Final answer
    x = 1,240,311,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.