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Finding the Third Proportional to 313,570 and 687,186

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Solution

The third proportional to 313,570 and 687,186 is: 1,505,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,570 : 687,186 = 687,186 : x
  2. Step 2: Convert to fraction form
    313,570/687,186 = 687,186/x
  3. Step 3: Cross multiply
    313,570x = 687,186 × 687,186
  4. Step 4: Simplify right side
    313,570x = 472,224,598,596
  5. Step 5: Solve for x
    x = 472,224,598,596/313,570
  6. Step 6: Final answer
    x = 1,505,962.30

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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.