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Finding the Third Proportional to 218,060.25 and 462,017.25

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Solution

The third proportional to 218,060.25 and 462,017.25 is: 978,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,060.25 : 462,017.25 = 462,017.25 : x
  2. Step 2: Convert to fraction form
    218,060.25/462,017.25 = 462,017.25/x
  3. Step 3: Cross multiply
    218,060.25x = 462,017.25 × 462,017.25
  4. Step 4: Simplify right side
    218,060.25x = 213,459,939,297.56
  5. Step 5: Solve for x
    x = 213,459,939,297.56/218,060.25
  6. Step 6: Final answer
    x = 978,903.49

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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.