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Finding the Third Proportional to 588,826.13 and 883,473.75

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Solution

The third proportional to 588,826.13 and 883,473.75 is: 1,325,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,826.13 : 883,473.75 = 883,473.75 : x
  2. Step 2: Convert to fraction form
    588,826.13/883,473.75 = 883,473.75/x
  3. Step 3: Cross multiply
    588,826.13x = 883,473.75 × 883,473.75
  4. Step 4: Simplify right side
    588,826.13x = 780,525,866,939.06
  5. Step 5: Solve for x
    x = 780,525,866,939.06/588,826.13
  6. Step 6: Final answer
    x = 1,325,562.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.