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Finding the Third Proportional to 252,389 and 539,797

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Solution

The third proportional to 252,389 and 539,797 is: 1,154,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,389 : 539,797 = 539,797 : x
  2. Step 2: Convert to fraction form
    252,389/539,797 = 539,797/x
  3. Step 3: Cross multiply
    252,389x = 539,797 × 539,797
  4. Step 4: Simplify right side
    252,389x = 291,380,801,209
  5. Step 5: Solve for x
    x = 291,380,801,209/252,389
  6. Step 6: Final answer
    x = 1,154,490.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.