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Finding the Third Proportional to 263,334 and 397,332

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Solution

The third proportional to 263,334 and 397,332 is: 599,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,334 : 397,332 = 397,332 : x
  2. Step 2: Convert to fraction form
    263,334/397,332 = 397,332/x
  3. Step 3: Cross multiply
    263,334x = 397,332 × 397,332
  4. Step 4: Simplify right side
    263,334x = 157,872,718,224
  5. Step 5: Solve for x
    x = 157,872,718,224/263,334
  6. Step 6: Final answer
    x = 599,515.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.