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Finding the Third Proportional to 337,705.88 and 513,520.88

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Solution

The third proportional to 337,705.88 and 513,520.88 is: 780,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,705.88 : 513,520.88 = 513,520.88 : x
  2. Step 2: Convert to fraction form
    337,705.88/513,520.88 = 513,520.88/x
  3. Step 3: Cross multiply
    337,705.88x = 513,520.88 × 513,520.88
  4. Step 4: Simplify right side
    337,705.88x = 263,703,689,060.77
  5. Step 5: Solve for x
    x = 263,703,689,060.77/337,705.88
  6. Step 6: Final answer
    x = 780,867.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.