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Finding the Third Proportional to 252,338 and 374,862

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Solution

The third proportional to 252,338 and 374,862 is: 556,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,338 : 374,862 = 374,862 : x
  2. Step 2: Convert to fraction form
    252,338/374,862 = 374,862/x
  3. Step 3: Cross multiply
    252,338x = 374,862 × 374,862
  4. Step 4: Simplify right side
    252,338x = 140,521,519,044
  5. Step 5: Solve for x
    x = 140,521,519,044/252,338
  6. Step 6: Final answer
    x = 556,878.15

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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.