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Finding the Third Proportional to 218,052 and 477,738

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Solution

The third proportional to 218,052 and 477,738 is: 1,046,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,052 : 477,738 = 477,738 : x
  2. Step 2: Convert to fraction form
    218,052/477,738 = 477,738/x
  3. Step 3: Cross multiply
    218,052x = 477,738 × 477,738
  4. Step 4: Simplify right side
    218,052x = 228,233,596,644
  5. Step 5: Solve for x
    x = 228,233,596,644/218,052
  6. Step 6: Final answer
    x = 1,046,693.43

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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.