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Finding the Third Proportional to 481,545 and 746,664.75

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Solution

The third proportional to 481,545 and 746,664.75 is: 1,157,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,545 : 746,664.75 = 746,664.75 : x
  2. Step 2: Convert to fraction form
    481,545/746,664.75 = 746,664.75/x
  3. Step 3: Cross multiply
    481,545x = 746,664.75 × 746,664.75
  4. Step 4: Simplify right side
    481,545x = 557,508,248,892.56
  5. Step 5: Solve for x
    x = 557,508,248,892.56/481,545
  6. Step 6: Final answer
    x = 1,157,749.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.