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Finding the Third Proportional to 676,898 and 898,521

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Solution

The third proportional to 676,898 and 898,521 is: 1,192,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,898 : 898,521 = 898,521 : x
  2. Step 2: Convert to fraction form
    676,898/898,521 = 898,521/x
  3. Step 3: Cross multiply
    676,898x = 898,521 × 898,521
  4. Step 4: Simplify right side
    676,898x = 807,339,987,441
  5. Step 5: Solve for x
    x = 807,339,987,441/676,898
  6. Step 6: Final answer
    x = 1,192,705.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.