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Finding the Third Proportional to 567,936 and 890,496

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Solution

The third proportional to 567,936 and 890,496 is: 1,396,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,936 : 890,496 = 890,496 : x
  2. Step 2: Convert to fraction form
    567,936/890,496 = 890,496/x
  3. Step 3: Cross multiply
    567,936x = 890,496 × 890,496
  4. Step 4: Simplify right side
    567,936x = 792,983,126,016
  5. Step 5: Solve for x
    x = 792,983,126,016/567,936
  6. Step 6: Final answer
    x = 1,396,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.