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Finding the Third Proportional to 266,200.50 and 576,663

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Solution

The third proportional to 266,200.50 and 576,663 is: 1,249,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,200.50 : 576,663 = 576,663 : x
  2. Step 2: Convert to fraction form
    266,200.50/576,663 = 576,663/x
  3. Step 3: Cross multiply
    266,200.50x = 576,663 × 576,663
  4. Step 4: Simplify right side
    266,200.50x = 332,540,215,569
  5. Step 5: Solve for x
    x = 332,540,215,569/266,200.50
  6. Step 6: Final answer
    x = 1,249,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.