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Finding the Third Proportional to 695,846.25 and 1,077,437.25

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Solution

The third proportional to 695,846.25 and 1,077,437.25 is: 1,668,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,846.25 : 1,077,437.25 = 1,077,437.25 : x
  2. Step 2: Convert to fraction form
    695,846.25/1,077,437.25 = 1,077,437.25/x
  3. Step 3: Cross multiply
    695,846.25x = 1,077,437.25 × 1,077,437.25
  4. Step 4: Simplify right side
    695,846.25x = 1,160,871,027,687.56
  5. Step 5: Solve for x
    x = 1,160,871,027,687.56/695,846.25
  6. Step 6: Final answer
    x = 1,668,286.68

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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.