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Finding the Third Proportional to 314,777.25 and 679,812.75

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Solution

The third proportional to 314,777.25 and 679,812.75 is: 1,468,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,777.25 : 679,812.75 = 679,812.75 : x
  2. Step 2: Convert to fraction form
    314,777.25/679,812.75 = 679,812.75/x
  3. Step 3: Cross multiply
    314,777.25x = 679,812.75 × 679,812.75
  4. Step 4: Simplify right side
    314,777.25x = 462,145,375,062.56
  5. Step 5: Solve for x
    x = 462,145,375,062.56/314,777.25
  6. Step 6: Final answer
    x = 1,468,166.38

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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.