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Finding the Third Proportional to 349,968 and 723,266

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Solution

The third proportional to 349,968 and 723,266 is: 1,494,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,968 : 723,266 = 723,266 : x
  2. Step 2: Convert to fraction form
    349,968/723,266 = 723,266/x
  3. Step 3: Cross multiply
    349,968x = 723,266 × 723,266
  4. Step 4: Simplify right side
    349,968x = 523,113,706,756
  5. Step 5: Solve for x
    x = 523,113,706,756/349,968
  6. Step 6: Final answer
    x = 1,494,747.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.