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Finding the Third Proportional to 384,082.50 and 581,427.75

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Solution

The third proportional to 384,082.50 and 581,427.75 is: 880,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,082.50 : 581,427.75 = 581,427.75 : x
  2. Step 2: Convert to fraction form
    384,082.50/581,427.75 = 581,427.75/x
  3. Step 3: Cross multiply
    384,082.50x = 581,427.75 × 581,427.75
  4. Step 4: Simplify right side
    384,082.50x = 338,058,228,470.06
  5. Step 5: Solve for x
    x = 338,058,228,470.06/384,082.50
  6. Step 6: Final answer
    x = 880,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.