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Finding the Third Proportional to 331,870 and 724,004

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Solution

The third proportional to 331,870 and 724,004 is: 1,579,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,870 : 724,004 = 724,004 : x
  2. Step 2: Convert to fraction form
    331,870/724,004 = 724,004/x
  3. Step 3: Cross multiply
    331,870x = 724,004 × 724,004
  4. Step 4: Simplify right side
    331,870x = 524,181,792,016
  5. Step 5: Solve for x
    x = 524,181,792,016/331,870
  6. Step 6: Final answer
    x = 1,579,479.29

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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.