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Finding the Third Proportional to 401,463.75 and 587,117.25

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Solution

The third proportional to 401,463.75 and 587,117.25 is: 858,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,463.75 : 587,117.25 = 587,117.25 : x
  2. Step 2: Convert to fraction form
    401,463.75/587,117.25 = 587,117.25/x
  3. Step 3: Cross multiply
    401,463.75x = 587,117.25 × 587,117.25
  4. Step 4: Simplify right side
    401,463.75x = 344,706,665,247.56
  5. Step 5: Solve for x
    x = 344,706,665,247.56/401,463.75
  6. Step 6: Final answer
    x = 858,624.63

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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.