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Finding the Third Proportional to 465,472 and 738,240

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Solution

The third proportional to 465,472 and 738,240 is: 1,170,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472 : 738,240 = 738,240 : x
  2. Step 2: Convert to fraction form
    465,472/738,240 = 738,240/x
  3. Step 3: Cross multiply
    465,472x = 738,240 × 738,240
  4. Step 4: Simplify right side
    465,472x = 544,998,297,600
  5. Step 5: Solve for x
    x = 544,998,297,600/465,472
  6. Step 6: Final answer
    x = 1,170,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.