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Finding the Third Proportional to 543,764 and 829,962

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Solution

The third proportional to 543,764 and 829,962 is: 1,266,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,764 : 829,962 = 829,962 : x
  2. Step 2: Convert to fraction form
    543,764/829,962 = 829,962/x
  3. Step 3: Cross multiply
    543,764x = 829,962 × 829,962
  4. Step 4: Simplify right side
    543,764x = 688,836,921,444
  5. Step 5: Solve for x
    x = 688,836,921,444/543,764
  6. Step 6: Final answer
    x = 1,266,793.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.