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Finding the Third Proportional to 304,313.84 and 474,894.77

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Solution

The third proportional to 304,313.84 and 474,894.77 is: 741,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.84 : 474,894.77 = 474,894.77 : x
  2. Step 2: Convert to fraction form
    304,313.84/474,894.77 = 474,894.77/x
  3. Step 3: Cross multiply
    304,313.84x = 474,894.77 × 474,894.77
  4. Step 4: Simplify right side
    304,313.84x = 225,525,045,838.25
  5. Step 5: Solve for x
    x = 225,525,045,838.25/304,313.84
  6. Step 6: Final answer
    x = 741,093.63

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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.