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Finding the Third Proportional to 252,876 and 375,470

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Solution

The third proportional to 252,876 and 375,470 is: 557,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,876 : 375,470 = 375,470 : x
  2. Step 2: Convert to fraction form
    252,876/375,470 = 375,470/x
  3. Step 3: Cross multiply
    252,876x = 375,470 × 375,470
  4. Step 4: Simplify right side
    252,876x = 140,977,720,900
  5. Step 5: Solve for x
    x = 140,977,720,900/252,876
  6. Step 6: Final answer
    x = 557,497.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.