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Finding the Third Proportional to 361,742 and 532,155

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Solution

The third proportional to 361,742 and 532,155 is: 782,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,742 : 532,155 = 532,155 : x
  2. Step 2: Convert to fraction form
    361,742/532,155 = 532,155/x
  3. Step 3: Cross multiply
    361,742x = 532,155 × 532,155
  4. Step 4: Simplify right side
    361,742x = 283,188,944,025
  5. Step 5: Solve for x
    x = 283,188,944,025/361,742
  6. Step 6: Final answer
    x = 782,847.84

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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.