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Finding the Third Proportional to 393,454.13 and 590,181.19

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Solution

The third proportional to 393,454.13 and 590,181.19 is: 885,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,454.13 : 590,181.19 = 590,181.19 : x
  2. Step 2: Convert to fraction form
    393,454.13/590,181.19 = 590,181.19/x
  3. Step 3: Cross multiply
    393,454.13x = 590,181.19 × 590,181.19
  4. Step 4: Simplify right side
    393,454.13x = 348,313,834,078.91
  5. Step 5: Solve for x
    x = 348,313,834,078.91/393,454.13
  6. Step 6: Final answer
    x = 885,271.78

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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.