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Finding the Third Proportional to 247,914 and 543,321

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Solution

The third proportional to 247,914 and 543,321 is: 1,190,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,914 : 543,321 = 543,321 : x
  2. Step 2: Convert to fraction form
    247,914/543,321 = 543,321/x
  3. Step 3: Cross multiply
    247,914x = 543,321 × 543,321
  4. Step 4: Simplify right side
    247,914x = 295,197,709,041
  5. Step 5: Solve for x
    x = 295,197,709,041/247,914
  6. Step 6: Final answer
    x = 1,190,726.26

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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.