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Finding the Third Proportional to 251,304 and 537,366

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Solution

The third proportional to 251,304 and 537,366 is: 1,149,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,304 : 537,366 = 537,366 : x
  2. Step 2: Convert to fraction form
    251,304/537,366 = 537,366/x
  3. Step 3: Cross multiply
    251,304x = 537,366 × 537,366
  4. Step 4: Simplify right side
    251,304x = 288,762,217,956
  5. Step 5: Solve for x
    x = 288,762,217,956/251,304
  6. Step 6: Final answer
    x = 1,149,055.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.