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Finding the Third Proportional to 304,313.41 and 474,894.14

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Solution

The third proportional to 304,313.41 and 474,894.14 is: 741,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.41 : 474,894.14 = 474,894.14 : x
  2. Step 2: Convert to fraction form
    304,313.41/474,894.14 = 474,894.14/x
  3. Step 3: Cross multiply
    304,313.41x = 474,894.14 × 474,894.14
  4. Step 4: Simplify right side
    304,313.41x = 225,524,444,799.96
  5. Step 5: Solve for x
    x = 225,524,444,799.96/304,313.41
  6. Step 6: Final answer
    x = 741,092.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.