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Finding the Third Proportional to 250,182 and 510,552

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Solution

The third proportional to 250,182 and 510,552 is: 1,041,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,182 : 510,552 = 510,552 : x
  2. Step 2: Convert to fraction form
    250,182/510,552 = 510,552/x
  3. Step 3: Cross multiply
    250,182x = 510,552 × 510,552
  4. Step 4: Simplify right side
    250,182x = 260,663,344,704
  5. Step 5: Solve for x
    x = 260,663,344,704/250,182
  6. Step 6: Final answer
    x = 1,041,894.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.