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Finding the Third Proportional to 233,286.75 and 508,785.75

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Solution

The third proportional to 233,286.75 and 508,785.75 is: 1,109,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 508,785.75 = 508,785.75 : x
  2. Step 2: Convert to fraction form
    233,286.75/508,785.75 = 508,785.75/x
  3. Step 3: Cross multiply
    233,286.75x = 508,785.75 × 508,785.75
  4. Step 4: Simplify right side
    233,286.75x = 258,862,939,403.06
  5. Step 5: Solve for x
    x = 258,862,939,403.06/233,286.75
  6. Step 6: Final answer
    x = 1,109,634.13

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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.