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Finding the Third Proportional to 218,452.78 and 467,263.69

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Solution

The third proportional to 218,452.78 and 467,263.69 is: 999,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,452.78 : 467,263.69 = 467,263.69 : x
  2. Step 2: Convert to fraction form
    218,452.78/467,263.69 = 467,263.69/x
  3. Step 3: Cross multiply
    218,452.78x = 467,263.69 × 467,263.69
  4. Step 4: Simplify right side
    218,452.78x = 218,335,353,656.10
  5. Step 5: Solve for x
    x = 218,335,353,656.10/218,452.78
  6. Step 6: Final answer
    x = 999,462.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.