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Finding the Third Proportional to 222,275 and 486,711

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Solution

The third proportional to 222,275 and 486,711 is: 1,065,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,275 : 486,711 = 486,711 : x
  2. Step 2: Convert to fraction form
    222,275/486,711 = 486,711/x
  3. Step 3: Cross multiply
    222,275x = 486,711 × 486,711
  4. Step 4: Simplify right side
    222,275x = 236,887,597,521
  5. Step 5: Solve for x
    x = 236,887,597,521/222,275
  6. Step 6: Final answer
    x = 1,065,741.08

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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.