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Finding the Third Proportional to 508,702 and 754,413

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Solution

The third proportional to 508,702 and 754,413 is: 1,118,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,702 : 754,413 = 754,413 : x
  2. Step 2: Convert to fraction form
    508,702/754,413 = 754,413/x
  3. Step 3: Cross multiply
    508,702x = 754,413 × 754,413
  4. Step 4: Simplify right side
    508,702x = 569,138,974,569
  5. Step 5: Solve for x
    x = 569,138,974,569/508,702
  6. Step 6: Final answer
    x = 1,118,806.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.