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Finding the Third Proportional to 438,639.75 and 662,739.75

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Solution

The third proportional to 438,639.75 and 662,739.75 is: 1,001,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,639.75 : 662,739.75 = 662,739.75 : x
  2. Step 2: Convert to fraction form
    438,639.75/662,739.75 = 662,739.75/x
  3. Step 3: Cross multiply
    438,639.75x = 662,739.75 × 662,739.75
  4. Step 4: Simplify right side
    438,639.75x = 439,223,976,230.06
  5. Step 5: Solve for x
    x = 439,223,976,230.06/438,639.75
  6. Step 6: Final answer
    x = 1,001,331.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.