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Finding the Third Proportional to 247,341 and 529,728

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Solution

The third proportional to 247,341 and 529,728 is: 1,134,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,341 : 529,728 = 529,728 : x
  2. Step 2: Convert to fraction form
    247,341/529,728 = 529,728/x
  3. Step 3: Cross multiply
    247,341x = 529,728 × 529,728
  4. Step 4: Simplify right side
    247,341x = 280,611,753,984
  5. Step 5: Solve for x
    x = 280,611,753,984/247,341
  6. Step 6: Final answer
    x = 1,134,513.70

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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.