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Finding the Third Proportional to 654,484.50 and 1,012,830.75

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Solution

The third proportional to 654,484.50 and 1,012,830.75 is: 1,567,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,484.50 : 1,012,830.75 = 1,012,830.75 : x
  2. Step 2: Convert to fraction form
    654,484.50/1,012,830.75 = 1,012,830.75/x
  3. Step 3: Cross multiply
    654,484.50x = 1,012,830.75 × 1,012,830.75
  4. Step 4: Simplify right side
    654,484.50x = 1,025,826,128,145.56
  5. Step 5: Solve for x
    x = 1,025,826,128,145.56/654,484.50
  6. Step 6: Final answer
    x = 1,567,380.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.