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Finding the Third Proportional to 638,475.75 and 952,176

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Solution

The third proportional to 638,475.75 and 952,176 is: 1,420,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,475.75 : 952,176 = 952,176 : x
  2. Step 2: Convert to fraction form
    638,475.75/952,176 = 952,176/x
  3. Step 3: Cross multiply
    638,475.75x = 952,176 × 952,176
  4. Step 4: Simplify right side
    638,475.75x = 906,639,134,976
  5. Step 5: Solve for x
    x = 906,639,134,976/638,475.75
  6. Step 6: Final answer
    x = 1,420,005.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.