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Finding the Third Proportional to 332,722 and 706,976

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Solution

The third proportional to 332,722 and 706,976 is: 1,502,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,722 : 706,976 = 706,976 : x
  2. Step 2: Convert to fraction form
    332,722/706,976 = 706,976/x
  3. Step 3: Cross multiply
    332,722x = 706,976 × 706,976
  4. Step 4: Simplify right side
    332,722x = 499,815,064,576
  5. Step 5: Solve for x
    x = 499,815,064,576/332,722
  6. Step 6: Final answer
    x = 1,502,200.23

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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.