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Finding the Third Proportional to 285,624 and 627,286.50

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Solution

The third proportional to 285,624 and 627,286.50 is: 1,377,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624 : 627,286.50 = 627,286.50 : x
  2. Step 2: Convert to fraction form
    285,624/627,286.50 = 627,286.50/x
  3. Step 3: Cross multiply
    285,624x = 627,286.50 × 627,286.50
  4. Step 4: Simplify right side
    285,624x = 393,488,353,082.25
  5. Step 5: Solve for x
    x = 393,488,353,082.25/285,624
  6. Step 6: Final answer
    x = 1,377,644.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.