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Finding the Third Proportional to 322,908 and 703,942

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Solution

The third proportional to 322,908 and 703,942 is: 1,534,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,908 : 703,942 = 703,942 : x
  2. Step 2: Convert to fraction form
    322,908/703,942 = 703,942/x
  3. Step 3: Cross multiply
    322,908x = 703,942 × 703,942
  4. Step 4: Simplify right side
    322,908x = 495,534,339,364
  5. Step 5: Solve for x
    x = 495,534,339,364/322,908
  6. Step 6: Final answer
    x = 1,534,599.14

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Why These Related Problems?

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