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Finding the Third Proportional to 446,494 and 680,224

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Solution

The third proportional to 446,494 and 680,224 is: 1,036,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,494 : 680,224 = 680,224 : x
  2. Step 2: Convert to fraction form
    446,494/680,224 = 680,224/x
  3. Step 3: Cross multiply
    446,494x = 680,224 × 680,224
  4. Step 4: Simplify right side
    446,494x = 462,704,690,176
  5. Step 5: Solve for x
    x = 462,704,690,176/446,494
  6. Step 6: Final answer
    x = 1,036,306.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.