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Finding the Third Proportional to 249,366 and 534,460

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Solution

The third proportional to 249,366 and 534,460 is: 1,145,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,366 : 534,460 = 534,460 : x
  2. Step 2: Convert to fraction form
    249,366/534,460 = 534,460/x
  3. Step 3: Cross multiply
    249,366x = 534,460 × 534,460
  4. Step 4: Simplify right side
    249,366x = 285,647,491,600
  5. Step 5: Solve for x
    x = 285,647,491,600/249,366
  6. Step 6: Final answer
    x = 1,145,494.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.