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Finding the Third Proportional to 322,914 and 703,959

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Solution

The third proportional to 322,914 and 703,959 is: 1,534,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,914 : 703,959 = 703,959 : x
  2. Step 2: Convert to fraction form
    322,914/703,959 = 703,959/x
  3. Step 3: Cross multiply
    322,914x = 703,959 × 703,959
  4. Step 4: Simplify right side
    322,914x = 495,558,273,681
  5. Step 5: Solve for x
    x = 495,558,273,681/322,914
  6. Step 6: Final answer
    x = 1,534,644.75

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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.