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Finding the Third Proportional to 386,949.50 and 586,266.50

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Solution

The third proportional to 386,949.50 and 586,266.50 is: 888,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,949.50 : 586,266.50 = 586,266.50 : x
  2. Step 2: Convert to fraction form
    386,949.50/586,266.50 = 586,266.50/x
  3. Step 3: Cross multiply
    386,949.50x = 586,266.50 × 586,266.50
  4. Step 4: Simplify right side
    386,949.50x = 343,708,409,022.25
  5. Step 5: Solve for x
    x = 343,708,409,022.25/386,949.50
  6. Step 6: Final answer
    x = 888,251.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.