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Finding the Third Proportional to 343,951.31 and 729,683.44

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Solution

The third proportional to 343,951.31 and 729,683.44 is: 1,548,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,951.31 : 729,683.44 = 729,683.44 : x
  2. Step 2: Convert to fraction form
    343,951.31/729,683.44 = 729,683.44/x
  3. Step 3: Cross multiply
    343,951.31x = 729,683.44 × 729,683.44
  4. Step 4: Simplify right side
    343,951.31x = 532,437,918,961.82
  5. Step 5: Solve for x
    x = 532,437,918,961.82/343,951.31
  6. Step 6: Final answer
    x = 1,548,003.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.