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Finding the Third Proportional to 255,626.13 and 553,562.38

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Solution

The third proportional to 255,626.13 and 553,562.38 is: 1,198,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,626.13 : 553,562.38 = 553,562.38 : x
  2. Step 2: Convert to fraction form
    255,626.13/553,562.38 = 553,562.38/x
  3. Step 3: Cross multiply
    255,626.13x = 553,562.38 × 553,562.38
  4. Step 4: Simplify right side
    255,626.13x = 306,431,303,015.64
  5. Step 5: Solve for x
    x = 306,431,303,015.64/255,626.13
  6. Step 6: Final answer
    x = 1,198,747.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.