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Finding the Third Proportional to 555,618.75 and 829,769.25

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Solution

The third proportional to 555,618.75 and 829,769.25 is: 1,239,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,618.75 : 829,769.25 = 829,769.25 : x
  2. Step 2: Convert to fraction form
    555,618.75/829,769.25 = 829,769.25/x
  3. Step 3: Cross multiply
    555,618.75x = 829,769.25 × 829,769.25
  4. Step 4: Simplify right side
    555,618.75x = 688,517,008,245.56
  5. Step 5: Solve for x
    x = 688,517,008,245.56/555,618.75
  6. Step 6: Final answer
    x = 1,239,189.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.