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Finding the Third Proportional to 354,298.88 and 538,009.31

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Solution

The third proportional to 354,298.88 and 538,009.31 is: 816,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,298.88 : 538,009.31 = 538,009.31 : x
  2. Step 2: Convert to fraction form
    354,298.88/538,009.31 = 538,009.31/x
  3. Step 3: Cross multiply
    354,298.88x = 538,009.31 × 538,009.31
  4. Step 4: Simplify right side
    354,298.88x = 289,454,020,336.72
  5. Step 5: Solve for x
    x = 289,454,020,336.72/354,298.88
  6. Step 6: Final answer
    x = 816,976.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.