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Finding the Third Proportional to 217,826 and 462,532

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Solution

The third proportional to 217,826 and 462,532 is: 982,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,826 : 462,532 = 462,532 : x
  2. Step 2: Convert to fraction form
    217,826/462,532 = 462,532/x
  3. Step 3: Cross multiply
    217,826x = 462,532 × 462,532
  4. Step 4: Simplify right side
    217,826x = 213,935,851,024
  5. Step 5: Solve for x
    x = 213,935,851,024/217,826
  6. Step 6: Final answer
    x = 982,141.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.