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Finding the Third Proportional to 401,524 and 587,194

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Solution

The third proportional to 401,524 and 587,194 is: 858,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,524 : 587,194 = 587,194 : x
  2. Step 2: Convert to fraction form
    401,524/587,194 = 587,194/x
  3. Step 3: Cross multiply
    401,524x = 587,194 × 587,194
  4. Step 4: Simplify right side
    401,524x = 344,796,793,636
  5. Step 5: Solve for x
    x = 344,796,793,636/401,524
  6. Step 6: Final answer
    x = 858,720.26

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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.