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Finding the Third Proportional to 238,479,840 and 337,517,712

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Solution

The third proportional to 238,479,840 and 337,517,712 is: 477,684,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,479,840 : 337,517,712 = 337,517,712 : x
  2. Step 2: Convert to fraction form
    238,479,840/337,517,712 = 337,517,712/x
  3. Step 3: Cross multiply
    238,479,840x = 337,517,712 × 337,517,712
  4. Step 4: Simplify right side
    238,479,840x = 113,918,205,913,714,944
  5. Step 5: Solve for x
    x = 113,918,205,913,714,944/238,479,840
  6. Step 6: Final answer
    x = 477,684,847.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.