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Finding the Third Proportional to 386,961 and 586,282.50

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Solution

The third proportional to 386,961 and 586,282.50 is: 888,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,961 : 586,282.50 = 586,282.50 : x
  2. Step 2: Convert to fraction form
    386,961/586,282.50 = 586,282.50/x
  3. Step 3: Cross multiply
    386,961x = 586,282.50 × 586,282.50
  4. Step 4: Simplify right side
    386,961x = 343,727,169,806.25
  5. Step 5: Solve for x
    x = 343,727,169,806.25/386,961
  6. Step 6: Final answer
    x = 888,273.42

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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.