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Finding the Third Proportional to 337,703.55 and 513,517.85

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Solution

The third proportional to 337,703.55 and 513,517.85 is: 780,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,703.55 : 513,517.85 = 513,517.85 : x
  2. Step 2: Convert to fraction form
    337,703.55/513,517.85 = 513,517.85/x
  3. Step 3: Cross multiply
    337,703.55x = 513,517.85 × 513,517.85
  4. Step 4: Simplify right side
    337,703.55x = 263,700,583,873.37
  5. Step 5: Solve for x
    x = 263,700,583,873.37/337,703.55
  6. Step 6: Final answer
    x = 780,864.10

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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.