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Finding the Third Proportional to 485,512.31 and 735,015.94

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Solution

The third proportional to 485,512.31 and 735,015.94 is: 1,112,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,512.31 : 735,015.94 = 735,015.94 : x
  2. Step 2: Convert to fraction form
    485,512.31/735,015.94 = 735,015.94/x
  3. Step 3: Cross multiply
    485,512.31x = 735,015.94 × 735,015.94
  4. Step 4: Simplify right side
    485,512.31x = 540,248,428,379.00
  5. Step 5: Solve for x
    x = 540,248,428,379.00/485,512.31
  6. Step 6: Final answer
    x = 1,112,738.88

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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.