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Finding the Third Proportional to 418,165.50 and 890,277

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Solution

The third proportional to 418,165.50 and 890,277 is: 1,895,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,165.50 : 890,277 = 890,277 : x
  2. Step 2: Convert to fraction form
    418,165.50/890,277 = 890,277/x
  3. Step 3: Cross multiply
    418,165.50x = 890,277 × 890,277
  4. Step 4: Simplify right side
    418,165.50x = 792,593,136,729
  5. Step 5: Solve for x
    x = 792,593,136,729/418,165.50
  6. Step 6: Final answer
    x = 1,895,405.38

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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.