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Finding the Third Proportional to 233,510 and 332,769

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Solution

The third proportional to 233,510 and 332,769 is: 474,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,510 : 332,769 = 332,769 : x
  2. Step 2: Convert to fraction form
    233,510/332,769 = 332,769/x
  3. Step 3: Cross multiply
    233,510x = 332,769 × 332,769
  4. Step 4: Simplify right side
    233,510x = 110,735,207,361
  5. Step 5: Solve for x
    x = 110,735,207,361/233,510
  6. Step 6: Final answer
    x = 474,220.41

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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.