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Finding the Third Proportional to 323,472 and 474,648

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Solution

The third proportional to 323,472 and 474,648 is: 696,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,472 : 474,648 = 474,648 : x
  2. Step 2: Convert to fraction form
    323,472/474,648 = 474,648/x
  3. Step 3: Cross multiply
    323,472x = 474,648 × 474,648
  4. Step 4: Simplify right side
    323,472x = 225,290,723,904
  5. Step 5: Solve for x
    x = 225,290,723,904/323,472
  6. Step 6: Final answer
    x = 696,476.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.