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Finding the Third Proportional to 341,919 and 744,041

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Solution

The third proportional to 341,919 and 744,041 is: 1,619,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,919 : 744,041 = 744,041 : x
  2. Step 2: Convert to fraction form
    341,919/744,041 = 744,041/x
  3. Step 3: Cross multiply
    341,919x = 744,041 × 744,041
  4. Step 4: Simplify right side
    341,919x = 553,597,009,681
  5. Step 5: Solve for x
    x = 553,597,009,681/341,919
  6. Step 6: Final answer
    x = 1,619,088.17

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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.