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Finding the Third Proportional to 315,070 and 691,375

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Solution

The third proportional to 315,070 and 691,375 is: 1,517,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,070 : 691,375 = 691,375 : x
  2. Step 2: Convert to fraction form
    315,070/691,375 = 691,375/x
  3. Step 3: Cross multiply
    315,070x = 691,375 × 691,375
  4. Step 4: Simplify right side
    315,070x = 477,999,390,625
  5. Step 5: Solve for x
    x = 477,999,390,625/315,070
  6. Step 6: Final answer
    x = 1,517,121.24

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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.