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Finding the Third Proportional to 247,800 and 543,024

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Solution

The third proportional to 247,800 and 543,024 is: 1,189,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,800 : 543,024 = 543,024 : x
  2. Step 2: Convert to fraction form
    247,800/543,024 = 543,024/x
  3. Step 3: Cross multiply
    247,800x = 543,024 × 543,024
  4. Step 4: Simplify right side
    247,800x = 294,875,064,576
  5. Step 5: Solve for x
    x = 294,875,064,576/247,800
  6. Step 6: Final answer
    x = 1,189,972.01

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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.