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Finding the Third Proportional to 457,855.03 and 994,502.81

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Solution

The third proportional to 457,855.03 and 994,502.81 is: 2,160,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,855.03 : 994,502.81 = 994,502.81 : x
  2. Step 2: Convert to fraction form
    457,855.03/994,502.81 = 994,502.81/x
  3. Step 3: Cross multiply
    457,855.03x = 994,502.81 × 994,502.81
  4. Step 4: Simplify right side
    457,855.03x = 989,035,844,070.41
  5. Step 5: Solve for x
    x = 989,035,844,070.41/457,855.03
  6. Step 6: Final answer
    x = 2,160,150.65

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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.