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Finding the Third Proportional to 333,185 and 474,856

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Solution

The third proportional to 333,185 and 474,856 is: 676,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,185 : 474,856 = 474,856 : x
  2. Step 2: Convert to fraction form
    333,185/474,856 = 474,856/x
  3. Step 3: Cross multiply
    333,185x = 474,856 × 474,856
  4. Step 4: Simplify right side
    333,185x = 225,488,220,736
  5. Step 5: Solve for x
    x = 225,488,220,736/333,185
  6. Step 6: Final answer
    x = 676,765.82

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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.