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Finding the Third Proportional to 325,512 and 497,648.81

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Solution

The third proportional to 325,512 and 497,648.81 is: 760,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,512 : 497,648.81 = 497,648.81 : x
  2. Step 2: Convert to fraction form
    325,512/497,648.81 = 497,648.81/x
  3. Step 3: Cross multiply
    325,512x = 497,648.81 × 497,648.81
  4. Step 4: Simplify right side
    325,512x = 247,654,340,582.66
  5. Step 5: Solve for x
    x = 247,654,340,582.66/325,512
  6. Step 6: Final answer
    x = 760,814.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.