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Finding the Third Proportional to 222,964 and 486,560

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Solution

The third proportional to 222,964 and 486,560 is: 1,061,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,964 : 486,560 = 486,560 : x
  2. Step 2: Convert to fraction form
    222,964/486,560 = 486,560/x
  3. Step 3: Cross multiply
    222,964x = 486,560 × 486,560
  4. Step 4: Simplify right side
    222,964x = 236,740,633,600
  5. Step 5: Solve for x
    x = 236,740,633,600/222,964
  6. Step 6: Final answer
    x = 1,061,788.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.