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Finding the Third Proportional to 314,723.25 and 679,200.75

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Solution

The third proportional to 314,723.25 and 679,200.75 is: 1,465,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,723.25 : 679,200.75 = 679,200.75 : x
  2. Step 2: Convert to fraction form
    314,723.25/679,200.75 = 679,200.75/x
  3. Step 3: Cross multiply
    314,723.25x = 679,200.75 × 679,200.75
  4. Step 4: Simplify right side
    314,723.25x = 461,313,658,800.56
  5. Step 5: Solve for x
    x = 461,313,658,800.56/314,723.25
  6. Step 6: Final answer
    x = 1,465,775.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.