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Finding the Third Proportional to 401,490.75 and 591,144

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Solution

The third proportional to 401,490.75 and 591,144 is: 870,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,490.75 : 591,144 = 591,144 : x
  2. Step 2: Convert to fraction form
    401,490.75/591,144 = 591,144/x
  3. Step 3: Cross multiply
    401,490.75x = 591,144 × 591,144
  4. Step 4: Simplify right side
    401,490.75x = 349,451,228,736
  5. Step 5: Solve for x
    x = 349,451,228,736/401,490.75
  6. Step 6: Final answer
    x = 870,384.26

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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.