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Finding the Third Proportional to 211,266 and 469,758

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Solution

The third proportional to 211,266 and 469,758 is: 1,044,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266 : 469,758 = 469,758 : x
  2. Step 2: Convert to fraction form
    211,266/469,758 = 469,758/x
  3. Step 3: Cross multiply
    211,266x = 469,758 × 469,758
  4. Step 4: Simplify right side
    211,266x = 220,672,578,564
  5. Step 5: Solve for x
    x = 220,672,578,564/211,266
  6. Step 6: Final answer
    x = 1,044,524.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.