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Finding the Third Proportional to 341,298 and 744,801

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Solution

The third proportional to 341,298 and 744,801 is: 1,625,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,298 : 744,801 = 744,801 : x
  2. Step 2: Convert to fraction form
    341,298/744,801 = 744,801/x
  3. Step 3: Cross multiply
    341,298x = 744,801 × 744,801
  4. Step 4: Simplify right side
    341,298x = 554,728,529,601
  5. Step 5: Solve for x
    x = 554,728,529,601/341,298
  6. Step 6: Final answer
    x = 1,625,349.49

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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.