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Finding the Third Proportional to 401,452 and 587,102

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Solution

The third proportional to 401,452 and 587,102 is: 858,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,452 : 587,102 = 587,102 : x
  2. Step 2: Convert to fraction form
    401,452/587,102 = 587,102/x
  3. Step 3: Cross multiply
    401,452x = 587,102 × 587,102
  4. Step 4: Simplify right side
    401,452x = 344,688,758,404
  5. Step 5: Solve for x
    x = 344,688,758,404/401,452
  6. Step 6: Final answer
    x = 858,605.16

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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.