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Finding the Third Proportional to 395,139.38 and 564,645.75

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Solution

The third proportional to 395,139.38 and 564,645.75 is: 806,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,139.38 : 564,645.75 = 564,645.75 : x
  2. Step 2: Convert to fraction form
    395,139.38/564,645.75 = 564,645.75/x
  3. Step 3: Cross multiply
    395,139.38x = 564,645.75 × 564,645.75
  4. Step 4: Simplify right side
    395,139.38x = 318,824,822,993.06
  5. Step 5: Solve for x
    x = 318,824,822,993.06/395,139.38
  6. Step 6: Final answer
    x = 806,866.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.