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Finding the Third Proportional to 322,910 and 703,946

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Solution

The third proportional to 322,910 and 703,946 is: 1,534,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,910 : 703,946 = 703,946 : x
  2. Step 2: Convert to fraction form
    322,910/703,946 = 703,946/x
  3. Step 3: Cross multiply
    322,910x = 703,946 × 703,946
  4. Step 4: Simplify right side
    322,910x = 495,539,970,916
  5. Step 5: Solve for x
    x = 495,539,970,916/322,910
  6. Step 6: Final answer
    x = 1,534,607.08

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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.