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Finding the Third Proportional to 506,346 and 762,759

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Solution

The third proportional to 506,346 and 762,759 is: 1,149,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,346 : 762,759 = 762,759 : x
  2. Step 2: Convert to fraction form
    506,346/762,759 = 762,759/x
  3. Step 3: Cross multiply
    506,346x = 762,759 × 762,759
  4. Step 4: Simplify right side
    506,346x = 581,801,292,081
  5. Step 5: Solve for x
    x = 581,801,292,081/506,346
  6. Step 6: Final answer
    x = 1,149,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.