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Finding the Third Proportional to 401,463.75 and 591,105

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Solution

The third proportional to 401,463.75 and 591,105 is: 870,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,463.75 : 591,105 = 591,105 : x
  2. Step 2: Convert to fraction form
    401,463.75/591,105 = 591,105/x
  3. Step 3: Cross multiply
    401,463.75x = 591,105 × 591,105
  4. Step 4: Simplify right side
    401,463.75x = 349,405,121,025
  5. Step 5: Solve for x
    x = 349,405,121,025/401,463.75
  6. Step 6: Final answer
    x = 870,327.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.