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Finding the Third Proportional to 247,552 and 528,512

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Solution

The third proportional to 247,552 and 528,512 is: 1,128,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,552 : 528,512 = 528,512 : x
  2. Step 2: Convert to fraction form
    247,552/528,512 = 528,512/x
  3. Step 3: Cross multiply
    247,552x = 528,512 × 528,512
  4. Step 4: Simplify right side
    247,552x = 279,324,934,144
  5. Step 5: Solve for x
    x = 279,324,934,144/247,552
  6. Step 6: Final answer
    x = 1,128,348.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.