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Finding the Third Proportional to 418,165 and 890,275

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Solution

The third proportional to 418,165 and 890,275 is: 1,895,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,165 : 890,275 = 890,275 : x
  2. Step 2: Convert to fraction form
    418,165/890,275 = 890,275/x
  3. Step 3: Cross multiply
    418,165x = 890,275 × 890,275
  4. Step 4: Simplify right side
    418,165x = 792,589,575,625
  5. Step 5: Solve for x
    x = 792,589,575,625/418,165
  6. Step 6: Final answer
    x = 1,895,399.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.