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Finding the Third Proportional to 327,998 and 706,297

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Solution

The third proportional to 327,998 and 706,297 is: 1,520,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,998 : 706,297 = 706,297 : x
  2. Step 2: Convert to fraction form
    327,998/706,297 = 706,297/x
  3. Step 3: Cross multiply
    327,998x = 706,297 × 706,297
  4. Step 4: Simplify right side
    327,998x = 498,855,452,209
  5. Step 5: Solve for x
    x = 498,855,452,209/327,998
  6. Step 6: Final answer
    x = 1,520,910.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.