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Finding the Third Proportional to 249,524 and 383,542

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Solution

The third proportional to 249,524 and 383,542 is: 589,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,524 : 383,542 = 383,542 : x
  2. Step 2: Convert to fraction form
    249,524/383,542 = 383,542/x
  3. Step 3: Cross multiply
    249,524x = 383,542 × 383,542
  4. Step 4: Simplify right side
    249,524x = 147,104,465,764
  5. Step 5: Solve for x
    x = 147,104,465,764/249,524
  6. Step 6: Final answer
    x = 589,540.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.