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Finding the Third Proportional to 281,612 and 586,525

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Solution

The third proportional to 281,612 and 586,525 is: 1,221,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,612 : 586,525 = 586,525 : x
  2. Step 2: Convert to fraction form
    281,612/586,525 = 586,525/x
  3. Step 3: Cross multiply
    281,612x = 586,525 × 586,525
  4. Step 4: Simplify right side
    281,612x = 344,011,575,625
  5. Step 5: Solve for x
    x = 344,011,575,625/281,612
  6. Step 6: Final answer
    x = 1,221,579.96

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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.