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Finding the Third Proportional to 233,344.13 and 508,924.13

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Solution

The third proportional to 233,344.13 and 508,924.13 is: 1,109,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,344.13 : 508,924.13 = 508,924.13 : x
  2. Step 2: Convert to fraction form
    233,344.13/508,924.13 = 508,924.13/x
  3. Step 3: Cross multiply
    233,344.13x = 508,924.13 × 508,924.13
  4. Step 4: Simplify right side
    233,344.13x = 259,003,765,007.02
  5. Step 5: Solve for x
    x = 259,003,765,007.02/233,344.13
  6. Step 6: Final answer
    x = 1,109,964.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.