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Finding the Third Proportional to 338,690 and 724,084

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Solution

The third proportional to 338,690 and 724,084 is: 1,548,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,690 : 724,084 = 724,084 : x
  2. Step 2: Convert to fraction form
    338,690/724,084 = 724,084/x
  3. Step 3: Cross multiply
    338,690x = 724,084 × 724,084
  4. Step 4: Simplify right side
    338,690x = 524,297,639,056
  5. Step 5: Solve for x
    x = 524,297,639,056/338,690
  6. Step 6: Final answer
    x = 1,548,016.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.