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Finding the Third Proportional to 485,004.75 and 734,215.88

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Solution

The third proportional to 485,004.75 and 734,215.88 is: 1,111,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,004.75 : 734,215.88 = 734,215.88 : x
  2. Step 2: Convert to fraction form
    485,004.75/734,215.88 = 734,215.88/x
  3. Step 3: Cross multiply
    485,004.75x = 734,215.88 × 734,215.88
  4. Step 4: Simplify right side
    485,004.75x = 539,072,951,102.02
  5. Step 5: Solve for x
    x = 539,072,951,102.02/485,004.75
  6. Step 6: Final answer
    x = 1,111,479.74

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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.