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Finding the Third Proportional to 401,446 and 587,094

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Solution

The third proportional to 401,446 and 587,094 is: 858,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446 : 587,094 = 587,094 : x
  2. Step 2: Convert to fraction form
    401,446/587,094 = 587,094/x
  3. Step 3: Cross multiply
    401,446x = 587,094 × 587,094
  4. Step 4: Simplify right side
    401,446x = 344,679,364,836
  5. Step 5: Solve for x
    x = 344,679,364,836/401,446
  6. Step 6: Final answer
    x = 858,594.59

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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.