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Finding the Third Proportional to 275,220.75 and 569,319

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Solution

The third proportional to 275,220.75 and 569,319 is: 1,177,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220.75 : 569,319 = 569,319 : x
  2. Step 2: Convert to fraction form
    275,220.75/569,319 = 569,319/x
  3. Step 3: Cross multiply
    275,220.75x = 569,319 × 569,319
  4. Step 4: Simplify right side
    275,220.75x = 324,124,123,761
  5. Step 5: Solve for x
    x = 324,124,123,761/275,220.75
  6. Step 6: Final answer
    x = 1,177,687.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.