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Finding the Third Proportional to 249,494 and 541,635

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Solution

The third proportional to 249,494 and 541,635 is: 1,175,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,494 : 541,635 = 541,635 : x
  2. Step 2: Convert to fraction form
    249,494/541,635 = 541,635/x
  3. Step 3: Cross multiply
    249,494x = 541,635 × 541,635
  4. Step 4: Simplify right side
    249,494x = 293,368,473,225
  5. Step 5: Solve for x
    x = 293,368,473,225/249,494
  6. Step 6: Final answer
    x = 1,175,853.82

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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.