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Finding the Third Proportional to 214,329 and 466,752

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Solution

The third proportional to 214,329 and 466,752 is: 1,016,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,329 : 466,752 = 466,752 : x
  2. Step 2: Convert to fraction form
    214,329/466,752 = 466,752/x
  3. Step 3: Cross multiply
    214,329x = 466,752 × 466,752
  4. Step 4: Simplify right side
    214,329x = 217,857,429,504
  5. Step 5: Solve for x
    x = 217,857,429,504/214,329
  6. Step 6: Final answer
    x = 1,016,462.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.