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Finding the Third Proportional to 304,827 and 474,685.13

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Solution

The third proportional to 304,827 and 474,685.13 is: 739,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,827 : 474,685.13 = 474,685.13 : x
  2. Step 2: Convert to fraction form
    304,827/474,685.13 = 474,685.13/x
  3. Step 3: Cross multiply
    304,827x = 474,685.13 × 474,685.13
  4. Step 4: Simplify right side
    304,827x = 225,325,967,896.27
  5. Step 5: Solve for x
    x = 225,325,967,896.27/304,827
  6. Step 6: Final answer
    x = 739,192.95

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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.