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Finding the Third Proportional to 318,564 and 696,204

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Solution

The third proportional to 318,564 and 696,204 is: 1,521,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,564 : 696,204 = 696,204 : x
  2. Step 2: Convert to fraction form
    318,564/696,204 = 696,204/x
  3. Step 3: Cross multiply
    318,564x = 696,204 × 696,204
  4. Step 4: Simplify right side
    318,564x = 484,700,009,616
  5. Step 5: Solve for x
    x = 484,700,009,616/318,564
  6. Step 6: Final answer
    x = 1,521,515.33

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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.