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Finding the Third Proportional to 211,237 and 469,701

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Solution

The third proportional to 211,237 and 469,701 is: 1,044,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,237 : 469,701 = 469,701 : x
  2. Step 2: Convert to fraction form
    211,237/469,701 = 469,701/x
  3. Step 3: Cross multiply
    211,237x = 469,701 × 469,701
  4. Step 4: Simplify right side
    211,237x = 220,619,029,401
  5. Step 5: Solve for x
    x = 220,619,029,401/211,237
  6. Step 6: Final answer
    x = 1,044,414.71

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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.