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Finding the Third Proportional to 313,918 and 687,160

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Solution

The third proportional to 313,918 and 687,160 is: 1,504,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,918 : 687,160 = 687,160 : x
  2. Step 2: Convert to fraction form
    313,918/687,160 = 687,160/x
  3. Step 3: Cross multiply
    313,918x = 687,160 × 687,160
  4. Step 4: Simplify right side
    313,918x = 472,188,865,600
  5. Step 5: Solve for x
    x = 472,188,865,600/313,918
  6. Step 6: Final answer
    x = 1,504,179.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.