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Finding the Third Proportional to 337,521.30 and 454,645.41

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Solution

The third proportional to 337,521.30 and 454,645.41 is: 612,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,521.30 : 454,645.41 = 454,645.41 : x
  2. Step 2: Convert to fraction form
    337,521.30/454,645.41 = 454,645.41/x
  3. Step 3: Cross multiply
    337,521.30x = 454,645.41 × 454,645.41
  4. Step 4: Simplify right side
    337,521.30x = 206,702,445,424.23
  5. Step 5: Solve for x
    x = 206,702,445,424.23/337,521.30
  6. Step 6: Final answer
    x = 612,413.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.