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Finding the Third Proportional to 304,834 and 474,695

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Solution

The third proportional to 304,834 and 474,695 is: 739,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,834 : 474,695 = 474,695 : x
  2. Step 2: Convert to fraction form
    304,834/474,695 = 474,695/x
  3. Step 3: Cross multiply
    304,834x = 474,695 × 474,695
  4. Step 4: Simplify right side
    304,834x = 225,335,343,025
  5. Step 5: Solve for x
    x = 225,335,343,025/304,834
  6. Step 6: Final answer
    x = 739,206.73

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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.