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Finding the Third Proportional to 313,920 and 687,164

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Solution

The third proportional to 313,920 and 687,164 is: 1,504,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,920 : 687,164 = 687,164 : x
  2. Step 2: Convert to fraction form
    313,920/687,164 = 687,164/x
  3. Step 3: Cross multiply
    313,920x = 687,164 × 687,164
  4. Step 4: Simplify right side
    313,920x = 472,194,362,896
  5. Step 5: Solve for x
    x = 472,194,362,896/313,920
  6. Step 6: Final answer
    x = 1,504,186.94

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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.