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Finding the Third Proportional to 233,548 and 332,822

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Solution

The third proportional to 233,548 and 332,822 is: 474,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,548 : 332,822 = 332,822 : x
  2. Step 2: Convert to fraction form
    233,548/332,822 = 332,822/x
  3. Step 3: Cross multiply
    233,548x = 332,822 × 332,822
  4. Step 4: Simplify right side
    233,548x = 110,770,483,684
  5. Step 5: Solve for x
    x = 110,770,483,684/233,548
  6. Step 6: Final answer
    x = 474,294.29

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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.