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Finding the Third Proportional to 401,491.13 and 591,143.63

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Solution

The third proportional to 401,491.13 and 591,143.63 is: 870,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,491.13 : 591,143.63 = 591,143.63 : x
  2. Step 2: Convert to fraction form
    401,491.13/591,143.63 = 591,143.63/x
  3. Step 3: Cross multiply
    401,491.13x = 591,143.63 × 591,143.63
  4. Step 4: Simplify right side
    401,491.13x = 349,450,785,378.14
  5. Step 5: Solve for x
    x = 349,450,785,378.14/401,491.13
  6. Step 6: Final answer
    x = 870,382.34

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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.