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Finding the Third Proportional to 352,892 and 769,228

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Solution

The third proportional to 352,892 and 769,228 is: 1,676,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,892 : 769,228 = 769,228 : x
  2. Step 2: Convert to fraction form
    352,892/769,228 = 769,228/x
  3. Step 3: Cross multiply
    352,892x = 769,228 × 769,228
  4. Step 4: Simplify right side
    352,892x = 591,711,715,984
  5. Step 5: Solve for x
    x = 591,711,715,984/352,892
  6. Step 6: Final answer
    x = 1,676,750.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.