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Finding the Third Proportional to 233,224.95 and 508,659.75

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Solution

The third proportional to 233,224.95 and 508,659.75 is: 1,109,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,224.95 : 508,659.75 = 508,659.75 : x
  2. Step 2: Convert to fraction form
    233,224.95/508,659.75 = 508,659.75/x
  3. Step 3: Cross multiply
    233,224.95x = 508,659.75 × 508,659.75
  4. Step 4: Simplify right side
    233,224.95x = 258,734,741,270.06
  5. Step 5: Solve for x
    x = 258,734,741,270.06/233,224.95
  6. Step 6: Final answer
    x = 1,109,378.51

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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.