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Finding the Third Proportional to 340,659.42 and 737,753.70

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Solution

The third proportional to 340,659.42 and 737,753.70 is: 1,597,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,659.42 : 737,753.70 = 737,753.70 : x
  2. Step 2: Convert to fraction form
    340,659.42/737,753.70 = 737,753.70/x
  3. Step 3: Cross multiply
    340,659.42x = 737,753.70 × 737,753.70
  4. Step 4: Simplify right side
    340,659.42x = 544,280,514,947.25
  5. Step 5: Solve for x
    x = 544,280,514,947.25/340,659.42
  6. Step 6: Final answer
    x = 1,597,726.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.