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Finding the Third Proportional to 386,137.13 and 833,474.81

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Solution

The third proportional to 386,137.13 and 833,474.81 is: 1,799,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,137.13 : 833,474.81 = 833,474.81 : x
  2. Step 2: Convert to fraction form
    386,137.13/833,474.81 = 833,474.81/x
  3. Step 3: Cross multiply
    386,137.13x = 833,474.81 × 833,474.81
  4. Step 4: Simplify right side
    386,137.13x = 694,680,263,071.91
  5. Step 5: Solve for x
    x = 694,680,263,071.91/386,137.13
  6. Step 6: Final answer
    x = 1,799,050.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.