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Finding the Third Proportional to 603,712.13 and 816,994.13

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Solution

The third proportional to 603,712.13 and 816,994.13 is: 1,105,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,712.13 : 816,994.13 = 816,994.13 : x
  2. Step 2: Convert to fraction form
    603,712.13/816,994.13 = 816,994.13/x
  3. Step 3: Cross multiply
    603,712.13x = 816,994.13 × 816,994.13
  4. Step 4: Simplify right side
    603,712.13x = 667,479,400,284.52
  5. Step 5: Solve for x
    x = 667,479,400,284.52/603,712.13
  6. Step 6: Final answer
    x = 1,105,625.30

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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.