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Finding the Third Proportional to 361,733 and 532,146

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Solution

The third proportional to 361,733 and 532,146 is: 782,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,733 : 532,146 = 532,146 : x
  2. Step 2: Convert to fraction form
    361,733/532,146 = 532,146/x
  3. Step 3: Cross multiply
    361,733x = 532,146 × 532,146
  4. Step 4: Simplify right side
    361,733x = 283,179,365,316
  5. Step 5: Solve for x
    x = 283,179,365,316/361,733
  6. Step 6: Final answer
    x = 782,840.84

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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.