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Finding the Third Proportional to 304,323 and 474,908

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Solution

The third proportional to 304,323 and 474,908 is: 741,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,323 : 474,908 = 474,908 : x
  2. Step 2: Convert to fraction form
    304,323/474,908 = 474,908/x
  3. Step 3: Cross multiply
    304,323x = 474,908 × 474,908
  4. Step 4: Simplify right side
    304,323x = 225,537,608,464
  5. Step 5: Solve for x
    x = 225,537,608,464/304,323
  6. Step 6: Final answer
    x = 741,112.60

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Why These Related Problems?

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