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Finding the Third Proportional to 266,046.75 and 591,142.50

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Solution

The third proportional to 266,046.75 and 591,142.50 is: 1,313,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046.75 : 591,142.50 = 591,142.50 : x
  2. Step 2: Convert to fraction form
    266,046.75/591,142.50 = 591,142.50/x
  3. Step 3: Cross multiply
    266,046.75x = 591,142.50 × 591,142.50
  4. Step 4: Simplify right side
    266,046.75x = 349,449,455,306.25
  5. Step 5: Solve for x
    x = 349,449,455,306.25/266,046.75
  6. Step 6: Final answer
    x = 1,313,488.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.