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Finding the Third Proportional to 210,530 and 462,532

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Solution

The third proportional to 210,530 and 462,532 is: 1,016,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,530 : 462,532 = 462,532 : x
  2. Step 2: Convert to fraction form
    210,530/462,532 = 462,532/x
  3. Step 3: Cross multiply
    210,530x = 462,532 × 462,532
  4. Step 4: Simplify right side
    210,530x = 213,935,851,024
  5. Step 5: Solve for x
    x = 213,935,851,024/210,530
  6. Step 6: Final answer
    x = 1,016,177.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.