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Finding the Third Proportional to 361,851 and 532,251

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Solution

The third proportional to 361,851 and 532,251 is: 782,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,851 : 532,251 = 532,251 : x
  2. Step 2: Convert to fraction form
    361,851/532,251 = 532,251/x
  3. Step 3: Cross multiply
    361,851x = 532,251 × 532,251
  4. Step 4: Simplify right side
    361,851x = 283,291,127,001
  5. Step 5: Solve for x
    x = 283,291,127,001/361,851
  6. Step 6: Final answer
    x = 782,894.42

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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.