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Finding the Third Proportional to 218,342.25 and 477,415.69

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Solution

The third proportional to 218,342.25 and 477,415.69 is: 1,043,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,342.25 : 477,415.69 = 477,415.69 : x
  2. Step 2: Convert to fraction form
    218,342.25/477,415.69 = 477,415.69/x
  3. Step 3: Cross multiply
    218,342.25x = 477,415.69 × 477,415.69
  4. Step 4: Simplify right side
    218,342.25x = 227,925,738,671.10
  5. Step 5: Solve for x
    x = 227,925,738,671.10/218,342.25
  6. Step 6: Final answer
    x = 1,043,892.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.