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Finding the Third Proportional to 315,436 and 691,942

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Solution

The third proportional to 315,436 and 691,942 is: 1,517,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,436 : 691,942 = 691,942 : x
  2. Step 2: Convert to fraction form
    315,436/691,942 = 691,942/x
  3. Step 3: Cross multiply
    315,436x = 691,942 × 691,942
  4. Step 4: Simplify right side
    315,436x = 478,783,731,364
  5. Step 5: Solve for x
    x = 478,783,731,364/315,436
  6. Step 6: Final answer
    x = 1,517,847.46

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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.