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Finding the Third Proportional to 218,962 and 472,932

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Solution

The third proportional to 218,962 and 472,932 is: 1,021,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,962 : 472,932 = 472,932 : x
  2. Step 2: Convert to fraction form
    218,962/472,932 = 472,932/x
  3. Step 3: Cross multiply
    218,962x = 472,932 × 472,932
  4. Step 4: Simplify right side
    218,962x = 223,664,676,624
  5. Step 5: Solve for x
    x = 223,664,676,624/218,962
  6. Step 6: Final answer
    x = 1,021,477.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.