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Finding the Third Proportional to 337,151.11 and 722,125.76

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Solution

The third proportional to 337,151.11 and 722,125.76 is: 1,546,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,151.11 : 722,125.76 = 722,125.76 : x
  2. Step 2: Convert to fraction form
    337,151.11/722,125.76 = 722,125.76/x
  3. Step 3: Cross multiply
    337,151.11x = 722,125.76 × 722,125.76
  4. Step 4: Simplify right side
    337,151.11x = 521,465,610,096.28
  5. Step 5: Solve for x
    x = 521,465,610,096.28/337,151.11
  6. Step 6: Final answer
    x = 1,546,682.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.