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Finding the Third Proportional to 432,843.75 and 646,843.22

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Solution

The third proportional to 432,843.75 and 646,843.22 is: 966,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,843.75 : 646,843.22 = 646,843.22 : x
  2. Step 2: Convert to fraction form
    432,843.75/646,843.22 = 646,843.22/x
  3. Step 3: Cross multiply
    432,843.75x = 646,843.22 × 646,843.22
  4. Step 4: Simplify right side
    432,843.75x = 418,406,149,642.86
  5. Step 5: Solve for x
    x = 418,406,149,642.86/432,843.75
  6. Step 6: Final answer
    x = 966,644.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.