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Finding the Third Proportional to 543,112 and 823,700

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Solution

The third proportional to 543,112 and 823,700 is: 1,249,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,112 : 823,700 = 823,700 : x
  2. Step 2: Convert to fraction form
    543,112/823,700 = 823,700/x
  3. Step 3: Cross multiply
    543,112x = 823,700 × 823,700
  4. Step 4: Simplify right side
    543,112x = 678,481,690,000
  5. Step 5: Solve for x
    x = 678,481,690,000/543,112
  6. Step 6: Final answer
    x = 1,249,248.20

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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.