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Finding the Third Proportional to 337,162.50 and 705,493.13

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Solution

The third proportional to 337,162.50 and 705,493.13 is: 1,476,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,162.50 : 705,493.13 = 705,493.13 : x
  2. Step 2: Convert to fraction form
    337,162.50/705,493.13 = 705,493.13/x
  3. Step 3: Cross multiply
    337,162.50x = 705,493.13 × 705,493.13
  4. Step 4: Simplify right side
    337,162.50x = 497,720,549,422.27
  5. Step 5: Solve for x
    x = 497,720,549,422.27/337,162.50
  6. Step 6: Final answer
    x = 1,476,203.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.