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Finding the Third Proportional to 361,730 and 532,141

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Solution

The third proportional to 361,730 and 532,141 is: 782,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,730 : 532,141 = 532,141 : x
  2. Step 2: Convert to fraction form
    361,730/532,141 = 532,141/x
  3. Step 3: Cross multiply
    361,730x = 532,141 × 532,141
  4. Step 4: Simplify right side
    361,730x = 283,174,043,881
  5. Step 5: Solve for x
    x = 283,174,043,881/361,730
  6. Step 6: Final answer
    x = 782,832.62

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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.