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Finding the Third Proportional to 386,950.92 and 586,269.77

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Solution

The third proportional to 386,950.92 and 586,269.77 is: 888,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,950.92 : 586,269.77 = 586,269.77 : x
  2. Step 2: Convert to fraction form
    386,950.92/586,269.77 = 586,269.77/x
  3. Step 3: Cross multiply
    386,950.92x = 586,269.77 × 586,269.77
  4. Step 4: Simplify right side
    386,950.92x = 343,712,247,246.46
  5. Step 5: Solve for x
    x = 343,712,247,246.46/386,950.92
  6. Step 6: Final answer
    x = 888,257.99

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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.