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Finding the Third Proportional to 319,801 and 703,994

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Solution

The third proportional to 319,801 and 703,994 is: 1,549,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,801 : 703,994 = 703,994 : x
  2. Step 2: Convert to fraction form
    319,801/703,994 = 703,994/x
  3. Step 3: Cross multiply
    319,801x = 703,994 × 703,994
  4. Step 4: Simplify right side
    319,801x = 495,607,552,036
  5. Step 5: Solve for x
    x = 495,607,552,036/319,801
  6. Step 6: Final answer
    x = 1,549,737.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.