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Finding the Third Proportional to 272,451 and 374,000

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Solution

The third proportional to 272,451 and 374,000 is: 513,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,451 : 374,000 = 374,000 : x
  2. Step 2: Convert to fraction form
    272,451/374,000 = 374,000/x
  3. Step 3: Cross multiply
    272,451x = 374,000 × 374,000
  4. Step 4: Simplify right side
    272,451x = 139,876,000,000
  5. Step 5: Solve for x
    x = 139,876,000,000/272,451
  6. Step 6: Final answer
    x = 513,398.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.