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Finding the Third Proportional to 221,908 and 485,334

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Solution

The third proportional to 221,908 and 485,334 is: 1,061,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,908 : 485,334 = 485,334 : x
  2. Step 2: Convert to fraction form
    221,908/485,334 = 485,334/x
  3. Step 3: Cross multiply
    221,908x = 485,334 × 485,334
  4. Step 4: Simplify right side
    221,908x = 235,549,091,556
  5. Step 5: Solve for x
    x = 235,549,091,556/221,908
  6. Step 6: Final answer
    x = 1,061,471.83

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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.