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Finding the Third Proportional to 333,206 and 474,879

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Solution

The third proportional to 333,206 and 474,879 is: 676,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,206 : 474,879 = 474,879 : x
  2. Step 2: Convert to fraction form
    333,206/474,879 = 474,879/x
  3. Step 3: Cross multiply
    333,206x = 474,879 × 474,879
  4. Step 4: Simplify right side
    333,206x = 225,510,064,641
  5. Step 5: Solve for x
    x = 225,510,064,641/333,206
  6. Step 6: Final answer
    x = 676,788.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.