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Finding the Third Proportional to 676,774 and 952,204

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Solution

The third proportional to 676,774 and 952,204 is: 1,339,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,774 : 952,204 = 952,204 : x
  2. Step 2: Convert to fraction form
    676,774/952,204 = 952,204/x
  3. Step 3: Cross multiply
    676,774x = 952,204 × 952,204
  4. Step 4: Simplify right side
    676,774x = 906,692,457,616
  5. Step 5: Solve for x
    x = 906,692,457,616/676,774
  6. Step 6: Final answer
    x = 1,339,727.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.