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Finding the Third Proportional to 341,924 and 744,049

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Solution

The third proportional to 341,924 and 744,049 is: 1,619,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,924 : 744,049 = 744,049 : x
  2. Step 2: Convert to fraction form
    341,924/744,049 = 744,049/x
  3. Step 3: Cross multiply
    341,924x = 744,049 × 744,049
  4. Step 4: Simplify right side
    341,924x = 553,608,914,401
  5. Step 5: Solve for x
    x = 553,608,914,401/341,924
  6. Step 6: Final answer
    x = 1,619,099.32

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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.