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Finding the Third Proportional to 266,083.50 and 591,214.50

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Solution

The third proportional to 266,083.50 and 591,214.50 is: 1,313,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,083.50 : 591,214.50 = 591,214.50 : x
  2. Step 2: Convert to fraction form
    266,083.50/591,214.50 = 591,214.50/x
  3. Step 3: Cross multiply
    266,083.50x = 591,214.50 × 591,214.50
  4. Step 4: Simplify right side
    266,083.50x = 349,534,585,010.25
  5. Step 5: Solve for x
    x = 349,534,585,010.25/266,083.50
  6. Step 6: Final answer
    x = 1,313,627.43

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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.