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Finding the Third Proportional to 249,600 and 516,864

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Solution

The third proportional to 249,600 and 516,864 is: 1,070,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,600 : 516,864 = 516,864 : x
  2. Step 2: Convert to fraction form
    249,600/516,864 = 516,864/x
  3. Step 3: Cross multiply
    249,600x = 516,864 × 516,864
  4. Step 4: Simplify right side
    249,600x = 267,148,394,496
  5. Step 5: Solve for x
    x = 267,148,394,496/249,600
  6. Step 6: Final answer
    x = 1,070,306.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.