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Finding the Third Proportional to 247,918 and 543,330

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Solution

The third proportional to 247,918 and 543,330 is: 1,190,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,918 : 543,330 = 543,330 : x
  2. Step 2: Convert to fraction form
    247,918/543,330 = 543,330/x
  3. Step 3: Cross multiply
    247,918x = 543,330 × 543,330
  4. Step 4: Simplify right side
    247,918x = 295,207,488,900
  5. Step 5: Solve for x
    x = 295,207,488,900/247,918
  6. Step 6: Final answer
    x = 1,190,746.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.