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Finding the Third Proportional to 332,472 and 684,552

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Solution

The third proportional to 332,472 and 684,552 is: 1,409,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,472 : 684,552 = 684,552 : x
  2. Step 2: Convert to fraction form
    332,472/684,552 = 684,552/x
  3. Step 3: Cross multiply
    332,472x = 684,552 × 684,552
  4. Step 4: Simplify right side
    332,472x = 468,611,440,704
  5. Step 5: Solve for x
    x = 468,611,440,704/332,472
  6. Step 6: Final answer
    x = 1,409,476.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.