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Finding the Third Proportional to 433,141.31 and 666,626.63

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Solution

The third proportional to 433,141.31 and 666,626.63 is: 1,025,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,141.31 : 666,626.63 = 666,626.63 : x
  2. Step 2: Convert to fraction form
    433,141.31/666,626.63 = 666,626.63/x
  3. Step 3: Cross multiply
    433,141.31x = 666,626.63 × 666,626.63
  4. Step 4: Simplify right side
    433,141.31x = 444,391,057,158.89
  5. Step 5: Solve for x
    x = 444,391,057,158.89/433,141.31
  6. Step 6: Final answer
    x = 1,025,972.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.