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Finding the Third Proportional to 247,382 and 529,744

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Solution

The third proportional to 247,382 and 529,744 is: 1,134,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,382 : 529,744 = 529,744 : x
  2. Step 2: Convert to fraction form
    247,382/529,744 = 529,744/x
  3. Step 3: Cross multiply
    247,382x = 529,744 × 529,744
  4. Step 4: Simplify right side
    247,382x = 280,628,705,536
  5. Step 5: Solve for x
    x = 280,628,705,536/247,382
  6. Step 6: Final answer
    x = 1,134,394.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.