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Finding the Third Proportional to 213,111 and 466,317

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Solution

The third proportional to 213,111 and 466,317 is: 1,020,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,111 : 466,317 = 466,317 : x
  2. Step 2: Convert to fraction form
    213,111/466,317 = 466,317/x
  3. Step 3: Cross multiply
    213,111x = 466,317 × 466,317
  4. Step 4: Simplify right side
    213,111x = 217,451,544,489
  5. Step 5: Solve for x
    x = 217,451,544,489/213,111
  6. Step 6: Final answer
    x = 1,020,367.53

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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.