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Finding the Third Proportional to 266,080.50 and 591,207.75

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Solution

The third proportional to 266,080.50 and 591,207.75 is: 1,313,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,080.50 : 591,207.75 = 591,207.75 : x
  2. Step 2: Convert to fraction form
    266,080.50/591,207.75 = 591,207.75/x
  3. Step 3: Cross multiply
    266,080.50x = 591,207.75 × 591,207.75
  4. Step 4: Simplify right side
    266,080.50x = 349,526,603,660.06
  5. Step 5: Solve for x
    x = 349,526,603,660.06/266,080.50
  6. Step 6: Final answer
    x = 1,313,612.25

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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.