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Finding the Third Proportional to 506,563 and 770,288

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Solution

The third proportional to 506,563 and 770,288 is: 1,171,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,563 : 770,288 = 770,288 : x
  2. Step 2: Convert to fraction form
    506,563/770,288 = 770,288/x
  3. Step 3: Cross multiply
    506,563x = 770,288 × 770,288
  4. Step 4: Simplify right side
    506,563x = 593,343,602,944
  5. Step 5: Solve for x
    x = 593,343,602,944/506,563
  6. Step 6: Final answer
    x = 1,171,312.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.