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Finding the Third Proportional to 361,744 and 532,158

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Solution

The third proportional to 361,744 and 532,158 is: 782,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,744 : 532,158 = 532,158 : x
  2. Step 2: Convert to fraction form
    361,744/532,158 = 532,158/x
  3. Step 3: Cross multiply
    361,744x = 532,158 × 532,158
  4. Step 4: Simplify right side
    361,744x = 283,192,136,964
  5. Step 5: Solve for x
    x = 283,192,136,964/361,744
  6. Step 6: Final answer
    x = 782,852.34

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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.