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Finding the Third Proportional to 249,906 and 539,727

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Solution

The third proportional to 249,906 and 539,727 is: 1,165,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,906 : 539,727 = 539,727 : x
  2. Step 2: Convert to fraction form
    249,906/539,727 = 539,727/x
  3. Step 3: Cross multiply
    249,906x = 539,727 × 539,727
  4. Step 4: Simplify right side
    249,906x = 291,305,234,529
  5. Step 5: Solve for x
    x = 291,305,234,529/249,906
  6. Step 6: Final answer
    x = 1,165,659.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.