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Finding the Third Proportional to 268,450 and 578,932

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Solution

The third proportional to 268,450 and 578,932 is: 1,248,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,450 : 578,932 = 578,932 : x
  2. Step 2: Convert to fraction form
    268,450/578,932 = 578,932/x
  3. Step 3: Cross multiply
    268,450x = 578,932 × 578,932
  4. Step 4: Simplify right side
    268,450x = 335,162,260,624
  5. Step 5: Solve for x
    x = 335,162,260,624/268,450
  6. Step 6: Final answer
    x = 1,248,509.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.