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Finding the Third Proportional to 218,063 and 462,023

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Solution

The third proportional to 218,063 and 462,023 is: 978,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,063 : 462,023 = 462,023 : x
  2. Step 2: Convert to fraction form
    218,063/462,023 = 462,023/x
  3. Step 3: Cross multiply
    218,063x = 462,023 × 462,023
  4. Step 4: Simplify right side
    218,063x = 213,465,252,529
  5. Step 5: Solve for x
    x = 213,465,252,529/218,063
  6. Step 6: Final answer
    x = 978,915.51

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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.