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Finding the Third Proportional to 361,731 and 532,143

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Solution

The third proportional to 361,731 and 532,143 is: 782,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,731 : 532,143 = 532,143 : x
  2. Step 2: Convert to fraction form
    361,731/532,143 = 532,143/x
  3. Step 3: Cross multiply
    361,731x = 532,143 × 532,143
  4. Step 4: Simplify right side
    361,731x = 283,176,172,449
  5. Step 5: Solve for x
    x = 283,176,172,449/361,731
  6. Step 6: Final answer
    x = 782,836.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.