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Finding the Third Proportional to 335,197.13 and 478,833.19

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Solution

The third proportional to 335,197.13 and 478,833.19 is: 684,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,197.13 : 478,833.19 = 478,833.19 : x
  2. Step 2: Convert to fraction form
    335,197.13/478,833.19 = 478,833.19/x
  3. Step 3: Cross multiply
    335,197.13x = 478,833.19 × 478,833.19
  4. Step 4: Simplify right side
    335,197.13x = 229,281,221,451.41
  5. Step 5: Solve for x
    x = 229,281,221,451.41/335,197.13
  6. Step 6: Final answer
    x = 684,019.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.