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Finding the Third Proportional to 315,996.75 and 676,280.25

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Solution

The third proportional to 315,996.75 and 676,280.25 is: 1,447,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,996.75 : 676,280.25 = 676,280.25 : x
  2. Step 2: Convert to fraction form
    315,996.75/676,280.25 = 676,280.25/x
  3. Step 3: Cross multiply
    315,996.75x = 676,280.25 × 676,280.25
  4. Step 4: Simplify right side
    315,996.75x = 457,354,976,540.06
  5. Step 5: Solve for x
    x = 457,354,976,540.06/315,996.75
  6. Step 6: Final answer
    x = 1,447,340.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.