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Finding the Third Proportional to 218,126 and 467,356

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Solution

The third proportional to 218,126 and 467,356 is: 1,001,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,126 : 467,356 = 467,356 : x
  2. Step 2: Convert to fraction form
    218,126/467,356 = 467,356/x
  3. Step 3: Cross multiply
    218,126x = 467,356 × 467,356
  4. Step 4: Simplify right side
    218,126x = 218,421,630,736
  5. Step 5: Solve for x
    x = 218,421,630,736/218,126
  6. Step 6: Final answer
    x = 1,001,355.32

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Why These Related Problems?

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