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Finding the Third Proportional to 281,614.50 and 586,530

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Solution

The third proportional to 281,614.50 and 586,530 is: 1,221,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,614.50 : 586,530 = 586,530 : x
  2. Step 2: Convert to fraction form
    281,614.50/586,530 = 586,530/x
  3. Step 3: Cross multiply
    281,614.50x = 586,530 × 586,530
  4. Step 4: Simplify right side
    281,614.50x = 344,017,440,900
  5. Step 5: Solve for x
    x = 344,017,440,900/281,614.50
  6. Step 6: Final answer
    x = 1,221,589.94

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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.