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Finding the Third Proportional to 354,724.50 and 726,024

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Solution

The third proportional to 354,724.50 and 726,024 is: 1,485,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,724.50 : 726,024 = 726,024 : x
  2. Step 2: Convert to fraction form
    354,724.50/726,024 = 726,024/x
  3. Step 3: Cross multiply
    354,724.50x = 726,024 × 726,024
  4. Step 4: Simplify right side
    354,724.50x = 527,110,848,576
  5. Step 5: Solve for x
    x = 527,110,848,576/354,724.50
  6. Step 6: Final answer
    x = 1,485,972.49

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.