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Finding the Third Proportional to 354,471.31 and 544,847.81

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Solution

The third proportional to 354,471.31 and 544,847.81 is: 837,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,471.31 : 544,847.81 = 544,847.81 : x
  2. Step 2: Convert to fraction form
    354,471.31/544,847.81 = 544,847.81/x
  3. Step 3: Cross multiply
    354,471.31x = 544,847.81 × 544,847.81
  4. Step 4: Simplify right side
    354,471.31x = 296,859,138,786.04
  5. Step 5: Solve for x
    x = 296,859,138,786.04/354,471.31
  6. Step 6: Final answer
    x = 837,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.