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Finding the Third Proportional to 333,177 and 474,844.50

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Solution

The third proportional to 333,177 and 474,844.50 is: 676,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,177 : 474,844.50 = 474,844.50 : x
  2. Step 2: Convert to fraction form
    333,177/474,844.50 = 474,844.50/x
  3. Step 3: Cross multiply
    333,177x = 474,844.50 × 474,844.50
  4. Step 4: Simplify right side
    333,177x = 225,477,299,180.25
  5. Step 5: Solve for x
    x = 225,477,299,180.25/333,177
  6. Step 6: Final answer
    x = 676,749.29

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