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Finding the Third Proportional to 543,758 and 799,767

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Solution

The third proportional to 543,758 and 799,767 is: 1,176,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,758 : 799,767 = 799,767 : x
  2. Step 2: Convert to fraction form
    543,758/799,767 = 799,767/x
  3. Step 3: Cross multiply
    543,758x = 799,767 × 799,767
  4. Step 4: Simplify right side
    543,758x = 639,627,254,289
  5. Step 5: Solve for x
    x = 639,627,254,289/543,758
  6. Step 6: Final answer
    x = 1,176,308.68

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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.