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Finding the Third Proportional to 337,830.75 and 503,101.13

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Solution

The third proportional to 337,830.75 and 503,101.13 is: 749,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,830.75 : 503,101.13 = 503,101.13 : x
  2. Step 2: Convert to fraction form
    337,830.75/503,101.13 = 503,101.13/x
  3. Step 3: Cross multiply
    337,830.75x = 503,101.13 × 503,101.13
  4. Step 4: Simplify right side
    337,830.75x = 253,110,741,976.27
  5. Step 5: Solve for x
    x = 253,110,741,976.27/337,830.75
  6. Step 6: Final answer
    x = 749,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.