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Finding the Third Proportional to 538,845.54 and 898,037.82

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Solution

The third proportional to 538,845.54 and 898,037.82 is: 1,496,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,845.54 : 898,037.82 = 898,037.82 : x
  2. Step 2: Convert to fraction form
    538,845.54/898,037.82 = 898,037.82/x
  3. Step 3: Cross multiply
    538,845.54x = 898,037.82 × 898,037.82
  4. Step 4: Simplify right side
    538,845.54x = 806,471,933,727.55
  5. Step 5: Solve for x
    x = 806,471,933,727.55/538,845.54
  6. Step 6: Final answer
    x = 1,496,666.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.