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Finding the Third Proportional to 485,007.75 and 734,221.50

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Solution

The third proportional to 485,007.75 and 734,221.50 is: 1,111,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,007.75 : 734,221.50 = 734,221.50 : x
  2. Step 2: Convert to fraction form
    485,007.75/734,221.50 = 734,221.50/x
  3. Step 3: Cross multiply
    485,007.75x = 734,221.50 × 734,221.50
  4. Step 4: Simplify right side
    485,007.75x = 539,081,211,062.25
  5. Step 5: Solve for x
    x = 539,081,211,062.25/485,007.75
  6. Step 6: Final answer
    x = 1,111,489.89

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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.