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Finding the Third Proportional to 403,951.22 and 614,321.72

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Solution

The third proportional to 403,951.22 and 614,321.72 is: 934,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,951.22 : 614,321.72 = 614,321.72 : x
  2. Step 2: Convert to fraction form
    403,951.22/614,321.72 = 614,321.72/x
  3. Step 3: Cross multiply
    403,951.22x = 614,321.72 × 614,321.72
  4. Step 4: Simplify right side
    403,951.22x = 377,391,174,127.95
  5. Step 5: Solve for x
    x = 377,391,174,127.95/403,951.22
  6. Step 6: Final answer
    x = 934,249.38

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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.