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Finding the Third Proportional to 225,898 and 470,523

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Solution

The third proportional to 225,898 and 470,523 is: 980,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,898 : 470,523 = 470,523 : x
  2. Step 2: Convert to fraction form
    225,898/470,523 = 470,523/x
  3. Step 3: Cross multiply
    225,898x = 470,523 × 470,523
  4. Step 4: Simplify right side
    225,898x = 221,391,893,529
  5. Step 5: Solve for x
    x = 221,391,893,529/225,898
  6. Step 6: Final answer
    x = 980,052.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.