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Finding the Third Proportional to 361,731 and 532,140

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Solution

The third proportional to 361,731 and 532,140 is: 782,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,731 : 532,140 = 532,140 : x
  2. Step 2: Convert to fraction form
    361,731/532,140 = 532,140/x
  3. Step 3: Cross multiply
    361,731x = 532,140 × 532,140
  4. Step 4: Simplify right side
    361,731x = 283,172,979,600
  5. Step 5: Solve for x
    x = 283,172,979,600/361,731
  6. Step 6: Final answer
    x = 782,827.51

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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.