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Finding the Third Proportional to 543,756 and 799,764

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Solution

The third proportional to 543,756 and 799,764 is: 1,176,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,756 : 799,764 = 799,764 : x
  2. Step 2: Convert to fraction form
    543,756/799,764 = 799,764/x
  3. Step 3: Cross multiply
    543,756x = 799,764 × 799,764
  4. Step 4: Simplify right side
    543,756x = 639,622,455,696
  5. Step 5: Solve for x
    x = 639,622,455,696/543,756
  6. Step 6: Final answer
    x = 1,176,304.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.