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Finding the Third Proportional to 249,408 and 516,549

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Solution

The third proportional to 249,408 and 516,549 is: 1,069,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,408 : 516,549 = 516,549 : x
  2. Step 2: Convert to fraction form
    249,408/516,549 = 516,549/x
  3. Step 3: Cross multiply
    249,408x = 516,549 × 516,549
  4. Step 4: Simplify right side
    249,408x = 266,822,869,401
  5. Step 5: Solve for x
    x = 266,822,869,401/249,408
  6. Step 6: Final answer
    x = 1,069,824.82

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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.