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Finding the Third Proportional to 281,924 and 587,175

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Solution

The third proportional to 281,924 and 587,175 is: 1,222,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,924 : 587,175 = 587,175 : x
  2. Step 2: Convert to fraction form
    281,924/587,175 = 587,175/x
  3. Step 3: Cross multiply
    281,924x = 587,175 × 587,175
  4. Step 4: Simplify right side
    281,924x = 344,774,480,625
  5. Step 5: Solve for x
    x = 344,774,480,625/281,924
  6. Step 6: Final answer
    x = 1,222,934.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.