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Finding the Third Proportional to 315,538.25 and 679,190.50

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Solution

The third proportional to 315,538.25 and 679,190.50 is: 1,461,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538.25 : 679,190.50 = 679,190.50 : x
  2. Step 2: Convert to fraction form
    315,538.25/679,190.50 = 679,190.50/x
  3. Step 3: Cross multiply
    315,538.25x = 679,190.50 × 679,190.50
  4. Step 4: Simplify right side
    315,538.25x = 461,299,735,290.25
  5. Step 5: Solve for x
    x = 461,299,735,290.25/315,538.25
  6. Step 6: Final answer
    x = 1,461,945.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.