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Finding the Third Proportional to 321,927.75 and 498,249

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Solution

The third proportional to 321,927.75 and 498,249 is: 771,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,927.75 : 498,249 = 498,249 : x
  2. Step 2: Convert to fraction form
    321,927.75/498,249 = 498,249/x
  3. Step 3: Cross multiply
    321,927.75x = 498,249 × 498,249
  4. Step 4: Simplify right side
    321,927.75x = 248,252,066,001
  5. Step 5: Solve for x
    x = 248,252,066,001/321,927.75
  6. Step 6: Final answer
    x = 771,142.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.