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Finding the Third Proportional to 432,719.72 and 941,635.13

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Solution

The third proportional to 432,719.72 and 941,635.13 is: 2,049,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,719.72 : 941,635.13 = 941,635.13 : x
  2. Step 2: Convert to fraction form
    432,719.72/941,635.13 = 941,635.13/x
  3. Step 3: Cross multiply
    432,719.72x = 941,635.13 × 941,635.13
  4. Step 4: Simplify right side
    432,719.72x = 886,676,708,633.77
  5. Step 5: Solve for x
    x = 886,676,708,633.77/432,719.72
  6. Step 6: Final answer
    x = 2,049,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.