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Finding the Third Proportional to 332,880 and 543,501

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Solution

The third proportional to 332,880 and 543,501 is: 887,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,880 : 543,501 = 543,501 : x
  2. Step 2: Convert to fraction form
    332,880/543,501 = 543,501/x
  3. Step 3: Cross multiply
    332,880x = 543,501 × 543,501
  4. Step 4: Simplify right side
    332,880x = 295,393,337,001
  5. Step 5: Solve for x
    x = 295,393,337,001/332,880
  6. Step 6: Final answer
    x = 887,386.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.