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Finding the Third Proportional to 401,463 and 587,118.38

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Solution

The third proportional to 401,463 and 587,118.38 is: 858,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,463 : 587,118.38 = 587,118.38 : x
  2. Step 2: Convert to fraction form
    401,463/587,118.38 = 587,118.38/x
  3. Step 3: Cross multiply
    401,463x = 587,118.38 × 587,118.38
  4. Step 4: Simplify right side
    401,463x = 344,707,986,262.64
  5. Step 5: Solve for x
    x = 344,707,986,262.64/401,463
  6. Step 6: Final answer
    x = 858,629.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.