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Finding the Third Proportional to 401,521 and 587,175

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Solution

The third proportional to 401,521 and 587,175 is: 858,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,521 : 587,175 = 587,175 : x
  2. Step 2: Convert to fraction form
    401,521/587,175 = 587,175/x
  3. Step 3: Cross multiply
    401,521x = 587,175 × 587,175
  4. Step 4: Simplify right side
    401,521x = 344,774,480,625
  5. Step 5: Solve for x
    x = 344,774,480,625/401,521
  6. Step 6: Final answer
    x = 858,671.10

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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.