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Finding the Third Proportional to 397,363.50 and 860,802

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Solution

The third proportional to 397,363.50 and 860,802 is: 1,864,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,363.50 : 860,802 = 860,802 : x
  2. Step 2: Convert to fraction form
    397,363.50/860,802 = 860,802/x
  3. Step 3: Cross multiply
    397,363.50x = 860,802 × 860,802
  4. Step 4: Simplify right side
    397,363.50x = 740,980,083,204
  5. Step 5: Solve for x
    x = 740,980,083,204/397,363.50
  6. Step 6: Final answer
    x = 1,864,741.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.