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Finding the Third Proportional to 411,244 and 613,444

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Solution

The third proportional to 411,244 and 613,444 is: 915,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,244 : 613,444 = 613,444 : x
  2. Step 2: Convert to fraction form
    411,244/613,444 = 613,444/x
  3. Step 3: Cross multiply
    411,244x = 613,444 × 613,444
  4. Step 4: Simplify right side
    411,244x = 376,313,541,136
  5. Step 5: Solve for x
    x = 376,313,541,136/411,244
  6. Step 6: Final answer
    x = 915,061.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.