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Finding the Third Proportional to 249,542 and 541,121

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Solution

The third proportional to 249,542 and 541,121 is: 1,173,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,542 : 541,121 = 541,121 : x
  2. Step 2: Convert to fraction form
    249,542/541,121 = 541,121/x
  3. Step 3: Cross multiply
    249,542x = 541,121 × 541,121
  4. Step 4: Simplify right side
    249,542x = 292,811,936,641
  5. Step 5: Solve for x
    x = 292,811,936,641/249,542
  6. Step 6: Final answer
    x = 1,173,397.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.