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Finding the Third Proportional to 249,513 and 541,674

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Solution

The third proportional to 249,513 and 541,674 is: 1,175,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,513 : 541,674 = 541,674 : x
  2. Step 2: Convert to fraction form
    249,513/541,674 = 541,674/x
  3. Step 3: Cross multiply
    249,513x = 541,674 × 541,674
  4. Step 4: Simplify right side
    249,513x = 293,410,722,276
  5. Step 5: Solve for x
    x = 293,410,722,276/249,513
  6. Step 6: Final answer
    x = 1,175,933.61

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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.