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Finding the Third Proportional to 386,115.75 and 584,161.50

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Solution

The third proportional to 386,115.75 and 584,161.50 is: 883,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,115.75 : 584,161.50 = 584,161.50 : x
  2. Step 2: Convert to fraction form
    386,115.75/584,161.50 = 584,161.50/x
  3. Step 3: Cross multiply
    386,115.75x = 584,161.50 × 584,161.50
  4. Step 4: Simplify right side
    386,115.75x = 341,244,658,082.25
  5. Step 5: Solve for x
    x = 341,244,658,082.25/386,115.75
  6. Step 6: Final answer
    x = 883,788.50

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