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Finding the Third Proportional to 393,264 and 601,356

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Solution

The third proportional to 393,264 and 601,356 is: 919,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,264 : 601,356 = 601,356 : x
  2. Step 2: Convert to fraction form
    393,264/601,356 = 601,356/x
  3. Step 3: Cross multiply
    393,264x = 601,356 × 601,356
  4. Step 4: Simplify right side
    393,264x = 361,629,038,736
  5. Step 5: Solve for x
    x = 361,629,038,736/393,264
  6. Step 6: Final answer
    x = 919,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.