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Finding the Third Proportional to 247,252 and 529,494

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Solution

The third proportional to 247,252 and 529,494 is: 1,133,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,252 : 529,494 = 529,494 : x
  2. Step 2: Convert to fraction form
    247,252/529,494 = 529,494/x
  3. Step 3: Cross multiply
    247,252x = 529,494 × 529,494
  4. Step 4: Simplify right side
    247,252x = 280,363,896,036
  5. Step 5: Solve for x
    x = 280,363,896,036/247,252
  6. Step 6: Final answer
    x = 1,133,919.63

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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.