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Finding the Third Proportional to 232,752 and 496,608

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Solution

The third proportional to 232,752 and 496,608 is: 1,059,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,752 : 496,608 = 496,608 : x
  2. Step 2: Convert to fraction form
    232,752/496,608 = 496,608/x
  3. Step 3: Cross multiply
    232,752x = 496,608 × 496,608
  4. Step 4: Simplify right side
    232,752x = 246,619,505,664
  5. Step 5: Solve for x
    x = 246,619,505,664/232,752
  6. Step 6: Final answer
    x = 1,059,580.61

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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.