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Finding the Third Proportional to 392,451.50 and 847,641.75

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Solution

The third proportional to 392,451.50 and 847,641.75 is: 1,830,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,451.50 : 847,641.75 = 847,641.75 : x
  2. Step 2: Convert to fraction form
    392,451.50/847,641.75 = 847,641.75/x
  3. Step 3: Cross multiply
    392,451.50x = 847,641.75 × 847,641.75
  4. Step 4: Simplify right side
    392,451.50x = 718,496,536,343.06
  5. Step 5: Solve for x
    x = 718,496,536,343.06/392,451.50
  6. Step 6: Final answer
    x = 1,830,790.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.