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Finding the Third Proportional to 218,182 and 472,796

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Solution

The third proportional to 218,182 and 472,796 is: 1,024,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,182 : 472,796 = 472,796 : x
  2. Step 2: Convert to fraction form
    218,182/472,796 = 472,796/x
  3. Step 3: Cross multiply
    218,182x = 472,796 × 472,796
  4. Step 4: Simplify right side
    218,182x = 223,536,057,616
  5. Step 5: Solve for x
    x = 223,536,057,616/218,182
  6. Step 6: Final answer
    x = 1,024,539.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.