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Finding the Third Proportional to 401,494 and 591,148

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Solution

The third proportional to 401,494 and 591,148 is: 870,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,494 : 591,148 = 591,148 : x
  2. Step 2: Convert to fraction form
    401,494/591,148 = 591,148/x
  3. Step 3: Cross multiply
    401,494x = 591,148 × 591,148
  4. Step 4: Simplify right side
    401,494x = 349,455,957,904
  5. Step 5: Solve for x
    x = 349,455,957,904/401,494
  6. Step 6: Final answer
    x = 870,388.99

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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.