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Finding the Third Proportional to 316,917 and 696,041

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Solution

The third proportional to 316,917 and 696,041 is: 1,528,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,917 : 696,041 = 696,041 : x
  2. Step 2: Convert to fraction form
    316,917/696,041 = 696,041/x
  3. Step 3: Cross multiply
    316,917x = 696,041 × 696,041
  4. Step 4: Simplify right side
    316,917x = 484,473,073,681
  5. Step 5: Solve for x
    x = 484,473,073,681/316,917
  6. Step 6: Final answer
    x = 1,528,706.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.