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Finding the Third Proportional to 543,576 and 823,572

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Solution

The third proportional to 543,576 and 823,572 is: 1,247,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,576 : 823,572 = 823,572 : x
  2. Step 2: Convert to fraction form
    543,576/823,572 = 823,572/x
  3. Step 3: Cross multiply
    543,576x = 823,572 × 823,572
  4. Step 4: Simplify right side
    543,576x = 678,270,839,184
  5. Step 5: Solve for x
    x = 678,270,839,184/543,576
  6. Step 6: Final answer
    x = 1,247,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.