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Finding the Third Proportional to 386,957.25 and 586,288.13

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Solution

The third proportional to 386,957.25 and 586,288.13 is: 888,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,957.25 : 586,288.13 = 586,288.13 : x
  2. Step 2: Convert to fraction form
    386,957.25/586,288.13 = 586,288.13/x
  3. Step 3: Cross multiply
    386,957.25x = 586,288.13 × 586,288.13
  4. Step 4: Simplify right side
    386,957.25x = 343,733,765,516.02
  5. Step 5: Solve for x
    x = 343,733,765,516.02/386,957.25
  6. Step 6: Final answer
    x = 888,299.07

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Why These Related Problems?

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