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Finding the Third Proportional to 419,562.56 and 645,271.31

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Solution

The third proportional to 419,562.56 and 645,271.31 is: 992,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,562.56 : 645,271.31 = 645,271.31 : x
  2. Step 2: Convert to fraction form
    419,562.56/645,271.31 = 645,271.31/x
  3. Step 3: Cross multiply
    419,562.56x = 645,271.31 × 645,271.31
  4. Step 4: Simplify right side
    419,562.56x = 416,375,066,735.47
  5. Step 5: Solve for x
    x = 416,375,066,735.47/419,562.56
  6. Step 6: Final answer
    x = 992,402.81

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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.