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Finding the Third Proportional to 281,916 and 587,160

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Solution

The third proportional to 281,916 and 587,160 is: 1,222,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,916 : 587,160 = 587,160 : x
  2. Step 2: Convert to fraction form
    281,916/587,160 = 587,160/x
  3. Step 3: Cross multiply
    281,916x = 587,160 × 587,160
  4. Step 4: Simplify right side
    281,916x = 344,756,865,600
  5. Step 5: Solve for x
    x = 344,756,865,600/281,916
  6. Step 6: Final answer
    x = 1,222,906.35

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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.