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Finding the Third Proportional to 327,770 and 500,403

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Solution

The third proportional to 327,770 and 500,403 is: 763,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,770 : 500,403 = 500,403 : x
  2. Step 2: Convert to fraction form
    327,770/500,403 = 500,403/x
  3. Step 3: Cross multiply
    327,770x = 500,403 × 500,403
  4. Step 4: Simplify right side
    327,770x = 250,403,162,409
  5. Step 5: Solve for x
    x = 250,403,162,409/327,770
  6. Step 6: Final answer
    x = 763,959.98

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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.