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Finding the Third Proportional to 354,406.50 and 534,502.13

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Solution

The third proportional to 354,406.50 and 534,502.13 is: 806,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,406.50 : 534,502.13 = 534,502.13 : x
  2. Step 2: Convert to fraction form
    354,406.50/534,502.13 = 534,502.13/x
  3. Step 3: Cross multiply
    354,406.50x = 534,502.13 × 534,502.13
  4. Step 4: Simplify right side
    354,406.50x = 285,692,521,629.52
  5. Step 5: Solve for x
    x = 285,692,521,629.52/354,406.50
  6. Step 6: Final answer
    x = 806,115.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.