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Finding the Third Proportional to 400,522.50 and 600,863.06

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Solution

The third proportional to 400,522.50 and 600,863.06 is: 901,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,522.50 : 600,863.06 = 600,863.06 : x
  2. Step 2: Convert to fraction form
    400,522.50/600,863.06 = 600,863.06/x
  3. Step 3: Cross multiply
    400,522.50x = 600,863.06 × 600,863.06
  4. Step 4: Simplify right side
    400,522.50x = 361,036,419,876.88
  5. Step 5: Solve for x
    x = 361,036,419,876.88/400,522.50
  6. Step 6: Final answer
    x = 901,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.