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Finding the Third Proportional to 354,471.19 and 544,847.63

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Solution

The third proportional to 354,471.19 and 544,847.63 is: 837,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,471.19 : 544,847.63 = 544,847.63 : x
  2. Step 2: Convert to fraction form
    354,471.19/544,847.63 = 544,847.63/x
  3. Step 3: Cross multiply
    354,471.19x = 544,847.63 × 544,847.63
  4. Step 4: Simplify right side
    354,471.19x = 296,858,934,468.14
  5. Step 5: Solve for x
    x = 296,858,934,468.14/354,471.19
  6. Step 6: Final answer
    x = 837,469.86

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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.