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Finding the Third Proportional to 334,219.50 and 721,702.13

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Solution

The third proportional to 334,219.50 and 721,702.13 is: 1,558,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,219.50 : 721,702.13 = 721,702.13 : x
  2. Step 2: Convert to fraction form
    334,219.50/721,702.13 = 721,702.13/x
  3. Step 3: Cross multiply
    334,219.50x = 721,702.13 × 721,702.13
  4. Step 4: Simplify right side
    334,219.50x = 520,853,957,229.52
  5. Step 5: Solve for x
    x = 520,853,957,229.52/334,219.50
  6. Step 6: Final answer
    x = 1,558,418.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.