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Finding the Third Proportional to 249,517 and 541,682

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Solution

The third proportional to 249,517 and 541,682 is: 1,175,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,517 : 541,682 = 541,682 : x
  2. Step 2: Convert to fraction form
    249,517/541,682 = 541,682/x
  3. Step 3: Cross multiply
    249,517x = 541,682 × 541,682
  4. Step 4: Simplify right side
    249,517x = 293,419,389,124
  5. Step 5: Solve for x
    x = 293,419,389,124/249,517
  6. Step 6: Final answer
    x = 1,175,949.49

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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.