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Finding the Third Proportional to 543,744 and 827,136

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Solution

The third proportional to 543,744 and 827,136 is: 1,258,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,744 : 827,136 = 827,136 : x
  2. Step 2: Convert to fraction form
    543,744/827,136 = 827,136/x
  3. Step 3: Cross multiply
    543,744x = 827,136 × 827,136
  4. Step 4: Simplify right side
    543,744x = 684,153,962,496
  5. Step 5: Solve for x
    x = 684,153,962,496/543,744
  6. Step 6: Final answer
    x = 1,258,228.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.