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Finding the Third Proportional to 485,003.25 and 734,214.75

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Solution

The third proportional to 485,003.25 and 734,214.75 is: 1,111,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,003.25 : 734,214.75 = 734,214.75 : x
  2. Step 2: Convert to fraction form
    485,003.25/734,214.75 = 734,214.75/x
  3. Step 3: Cross multiply
    485,003.25x = 734,214.75 × 734,214.75
  4. Step 4: Simplify right side
    485,003.25x = 539,071,299,117.56
  5. Step 5: Solve for x
    x = 539,071,299,117.56/485,003.25
  6. Step 6: Final answer
    x = 1,111,479.77

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Why These Related Problems?

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