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Finding the Third Proportional to 233,658 and 332,991

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Solution

The third proportional to 233,658 and 332,991 is: 474,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,658 : 332,991 = 332,991 : x
  2. Step 2: Convert to fraction form
    233,658/332,991 = 332,991/x
  3. Step 3: Cross multiply
    233,658x = 332,991 × 332,991
  4. Step 4: Simplify right side
    233,658x = 110,883,006,081
  5. Step 5: Solve for x
    x = 110,883,006,081/233,658
  6. Step 6: Final answer
    x = 474,552.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.