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Finding the Third Proportional to 372,024 and 539,892

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Solution

The third proportional to 372,024 and 539,892 is: 783,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,024 : 539,892 = 539,892 : x
  2. Step 2: Convert to fraction form
    372,024/539,892 = 539,892/x
  3. Step 3: Cross multiply
    372,024x = 539,892 × 539,892
  4. Step 4: Simplify right side
    372,024x = 291,483,371,664
  5. Step 5: Solve for x
    x = 291,483,371,664/372,024
  6. Step 6: Final answer
    x = 783,506.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.