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Finding the Third Proportional to 213,282 and 466,740

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Solution

The third proportional to 213,282 and 466,740 is: 1,021,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,282 : 466,740 = 466,740 : x
  2. Step 2: Convert to fraction form
    213,282/466,740 = 466,740/x
  3. Step 3: Cross multiply
    213,282x = 466,740 × 466,740
  4. Step 4: Simplify right side
    213,282x = 217,846,227,600
  5. Step 5: Solve for x
    x = 217,846,227,600/213,282
  6. Step 6: Final answer
    x = 1,021,399.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.