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Finding the Third Proportional to 246,681 and 539,496

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Solution

The third proportional to 246,681 and 539,496 is: 1,179,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,681 : 539,496 = 539,496 : x
  2. Step 2: Convert to fraction form
    246,681/539,496 = 539,496/x
  3. Step 3: Cross multiply
    246,681x = 539,496 × 539,496
  4. Step 4: Simplify right side
    246,681x = 291,055,934,016
  5. Step 5: Solve for x
    x = 291,055,934,016/246,681
  6. Step 6: Final answer
    x = 1,179,887.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.