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Finding the Third Proportional to 403,950.38 and 614,318.63

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Solution

The third proportional to 403,950.38 and 614,318.63 is: 934,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,950.38 : 614,318.63 = 614,318.63 : x
  2. Step 2: Convert to fraction form
    403,950.38/614,318.63 = 614,318.63/x
  3. Step 3: Cross multiply
    403,950.38x = 614,318.63 × 614,318.63
  4. Step 4: Simplify right side
    403,950.38x = 377,387,373,021.89
  5. Step 5: Solve for x
    x = 377,387,373,021.89/403,950.38
  6. Step 6: Final answer
    x = 934,241.92

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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.