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Finding the Third Proportional to 386,956.50 and 586,276.50

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Solution

The third proportional to 386,956.50 and 586,276.50 is: 888,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,956.50 : 586,276.50 = 586,276.50 : x
  2. Step 2: Convert to fraction form
    386,956.50/586,276.50 = 586,276.50/x
  3. Step 3: Cross multiply
    386,956.50x = 586,276.50 × 586,276.50
  4. Step 4: Simplify right side
    386,956.50x = 343,720,134,452.25
  5. Step 5: Solve for x
    x = 343,720,134,452.25/386,956.50
  6. Step 6: Final answer
    x = 888,265.57

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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.