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Finding the Third Proportional to 562,586 and 751,521

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Solution

The third proportional to 562,586 and 751,521 is: 1,003,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,586 : 751,521 = 751,521 : x
  2. Step 2: Convert to fraction form
    562,586/751,521 = 751,521/x
  3. Step 3: Cross multiply
    562,586x = 751,521 × 751,521
  4. Step 4: Simplify right side
    562,586x = 564,783,813,441
  5. Step 5: Solve for x
    x = 564,783,813,441/562,586
  6. Step 6: Final answer
    x = 1,003,906.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.