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Finding the Third Proportional to 252,331 and 374,851

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Solution

The third proportional to 252,331 and 374,851 is: 556,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,331 : 374,851 = 374,851 : x
  2. Step 2: Convert to fraction form
    252,331/374,851 = 374,851/x
  3. Step 3: Cross multiply
    252,331x = 374,851 × 374,851
  4. Step 4: Simplify right side
    252,331x = 140,513,272,201
  5. Step 5: Solve for x
    x = 140,513,272,201/252,331
  6. Step 6: Final answer
    x = 556,860.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.