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Finding the Third Proportional to 506,702 and 712,668

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Solution

The third proportional to 506,702 and 712,668 is: 1,002,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,702 : 712,668 = 712,668 : x
  2. Step 2: Convert to fraction form
    506,702/712,668 = 712,668/x
  3. Step 3: Cross multiply
    506,702x = 712,668 × 712,668
  4. Step 4: Simplify right side
    506,702x = 507,895,678,224
  5. Step 5: Solve for x
    x = 507,895,678,224/506,702
  6. Step 6: Final answer
    x = 1,002,355.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.