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Finding the Third Proportional to 341,469 and 743,136

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Solution

The third proportional to 341,469 and 743,136 is: 1,617,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,469 : 743,136 = 743,136 : x
  2. Step 2: Convert to fraction form
    341,469/743,136 = 743,136/x
  3. Step 3: Cross multiply
    341,469x = 743,136 × 743,136
  4. Step 4: Simplify right side
    341,469x = 552,251,114,496
  5. Step 5: Solve for x
    x = 552,251,114,496/341,469
  6. Step 6: Final answer
    x = 1,617,280.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.