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Finding the Third Proportional to 450,728.44 and 696,974.25

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Solution

The third proportional to 450,728.44 and 696,974.25 is: 1,077,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,728.44 : 696,974.25 = 696,974.25 : x
  2. Step 2: Convert to fraction form
    450,728.44/696,974.25 = 696,974.25/x
  3. Step 3: Cross multiply
    450,728.44x = 696,974.25 × 696,974.25
  4. Step 4: Simplify right side
    450,728.44x = 485,773,105,163.06
  5. Step 5: Solve for x
    x = 485,773,105,163.06/450,728.44
  6. Step 6: Final answer
    x = 1,077,751.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.