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Finding the Third Proportional to 485,524.75 and 735,034.75

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Solution

The third proportional to 485,524.75 and 735,034.75 is: 1,112,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,524.75 : 735,034.75 = 735,034.75 : x
  2. Step 2: Convert to fraction form
    485,524.75/735,034.75 = 735,034.75/x
  3. Step 3: Cross multiply
    485,524.75x = 735,034.75 × 735,034.75
  4. Step 4: Simplify right side
    485,524.75x = 540,276,083,707.56
  5. Step 5: Solve for x
    x = 540,276,083,707.56/485,524.75
  6. Step 6: Final answer
    x = 1,112,767.34

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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.