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Finding the Third Proportional to 249,772 and 539,451

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Solution

The third proportional to 249,772 and 539,451 is: 1,165,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,772 : 539,451 = 539,451 : x
  2. Step 2: Convert to fraction form
    249,772/539,451 = 539,451/x
  3. Step 3: Cross multiply
    249,772x = 539,451 × 539,451
  4. Step 4: Simplify right side
    249,772x = 291,007,381,401
  5. Step 5: Solve for x
    x = 291,007,381,401/249,772
  6. Step 6: Final answer
    x = 1,165,092.09

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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.