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Finding the Third Proportional to 349,551 and 744,858

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Solution

The third proportional to 349,551 and 744,858 is: 1,587,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,551 : 744,858 = 744,858 : x
  2. Step 2: Convert to fraction form
    349,551/744,858 = 744,858/x
  3. Step 3: Cross multiply
    349,551x = 744,858 × 744,858
  4. Step 4: Simplify right side
    349,551x = 554,813,440,164
  5. Step 5: Solve for x
    x = 554,813,440,164/349,551
  6. Step 6: Final answer
    x = 1,587,217.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.