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Finding the Third Proportional to 494,623.13 and 743,244.19

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Solution

The third proportional to 494,623.13 and 743,244.19 is: 1,116,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,623.13 : 743,244.19 = 743,244.19 : x
  2. Step 2: Convert to fraction form
    494,623.13/743,244.19 = 743,244.19/x
  3. Step 3: Cross multiply
    494,623.13x = 743,244.19 × 743,244.19
  4. Step 4: Simplify right side
    494,623.13x = 552,411,922,252.54
  5. Step 5: Solve for x
    x = 552,411,922,252.54/494,623.13
  6. Step 6: Final answer
    x = 1,116,834.00

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