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Finding the Third Proportional to 349,817 and 741,672

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Solution

The third proportional to 349,817 and 741,672 is: 1,572,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,817 : 741,672 = 741,672 : x
  2. Step 2: Convert to fraction form
    349,817/741,672 = 741,672/x
  3. Step 3: Cross multiply
    349,817x = 741,672 × 741,672
  4. Step 4: Simplify right side
    349,817x = 550,077,355,584
  5. Step 5: Solve for x
    x = 550,077,355,584/349,817
  6. Step 6: Final answer
    x = 1,572,471.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.