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Finding the Third Proportional to 498,620.81 and 726,099.19

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Solution

The third proportional to 498,620.81 and 726,099.19 is: 1,057,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,620.81 : 726,099.19 = 726,099.19 : x
  2. Step 2: Convert to fraction form
    498,620.81/726,099.19 = 726,099.19/x
  3. Step 3: Cross multiply
    498,620.81x = 726,099.19 × 726,099.19
  4. Step 4: Simplify right side
    498,620.81x = 527,220,030,088.16
  5. Step 5: Solve for x
    x = 527,220,030,088.16/498,620.81
  6. Step 6: Final answer
    x = 1,057,356.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.