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Finding the Third Proportional to 331,600 and 722,048

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Solution

The third proportional to 331,600 and 722,048 is: 1,572,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,600 : 722,048 = 722,048 : x
  2. Step 2: Convert to fraction form
    331,600/722,048 = 722,048/x
  3. Step 3: Cross multiply
    331,600x = 722,048 × 722,048
  4. Step 4: Simplify right side
    331,600x = 521,353,314,304
  5. Step 5: Solve for x
    x = 521,353,314,304/331,600
  6. Step 6: Final answer
    x = 1,572,235.57

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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.