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Finding the Third Proportional to 213,733 and 470,126

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Solution

The third proportional to 213,733 and 470,126 is: 1,034,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733 : 470,126 = 470,126 : x
  2. Step 2: Convert to fraction form
    213,733/470,126 = 470,126/x
  3. Step 3: Cross multiply
    213,733x = 470,126 × 470,126
  4. Step 4: Simplify right side
    213,733x = 221,018,455,876
  5. Step 5: Solve for x
    x = 221,018,455,876/213,733
  6. Step 6: Final answer
    x = 1,034,086.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.