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Finding the Third Proportional to 426,583.13 and 642,579.75

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Solution

The third proportional to 426,583.13 and 642,579.75 is: 967,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,583.13 : 642,579.75 = 642,579.75 : x
  2. Step 2: Convert to fraction form
    426,583.13/642,579.75 = 642,579.75/x
  3. Step 3: Cross multiply
    426,583.13x = 642,579.75 × 642,579.75
  4. Step 4: Simplify right side
    426,583.13x = 412,908,735,110.06
  5. Step 5: Solve for x
    x = 412,908,735,110.06/426,583.13
  6. Step 6: Final answer
    x = 967,944.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.