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Finding the Third Proportional to 347,114 and 721,876

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Solution

The third proportional to 347,114 and 721,876 is: 1,501,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114 : 721,876 = 721,876 : x
  2. Step 2: Convert to fraction form
    347,114/721,876 = 721,876/x
  3. Step 3: Cross multiply
    347,114x = 721,876 × 721,876
  4. Step 4: Simplify right side
    347,114x = 521,104,959,376
  5. Step 5: Solve for x
    x = 521,104,959,376/347,114
  6. Step 6: Final answer
    x = 1,501,250.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.