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Finding the Third Proportional to 249,493 and 541,633

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Solution

The third proportional to 249,493 and 541,633 is: 1,175,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,493 : 541,633 = 541,633 : x
  2. Step 2: Convert to fraction form
    249,493/541,633 = 541,633/x
  3. Step 3: Cross multiply
    249,493x = 541,633 × 541,633
  4. Step 4: Simplify right side
    249,493x = 293,366,306,689
  5. Step 5: Solve for x
    x = 293,366,306,689/249,493
  6. Step 6: Final answer
    x = 1,175,849.85

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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.