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Finding the Third Proportional to 315,088 and 691,406

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Solution

The third proportional to 315,088 and 691,406 is: 1,517,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,088 : 691,406 = 691,406 : x
  2. Step 2: Convert to fraction form
    315,088/691,406 = 691,406/x
  3. Step 3: Cross multiply
    315,088x = 691,406 × 691,406
  4. Step 4: Simplify right side
    315,088x = 478,042,256,836
  5. Step 5: Solve for x
    x = 478,042,256,836/315,088
  6. Step 6: Final answer
    x = 1,517,170.62

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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.