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Finding the Third Proportional to 331,869 and 724,002

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Solution

The third proportional to 331,869 and 724,002 is: 1,579,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,869 : 724,002 = 724,002 : x
  2. Step 2: Convert to fraction form
    331,869/724,002 = 724,002/x
  3. Step 3: Cross multiply
    331,869x = 724,002 × 724,002
  4. Step 4: Simplify right side
    331,869x = 524,178,896,004
  5. Step 5: Solve for x
    x = 524,178,896,004/331,869
  6. Step 6: Final answer
    x = 1,579,475.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.