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Finding the Third Proportional to 354,296.32 and 538,005.59

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Solution

The third proportional to 354,296.32 and 538,005.59 is: 816,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,296.32 : 538,005.59 = 538,005.59 : x
  2. Step 2: Convert to fraction form
    354,296.32/538,005.59 = 538,005.59/x
  3. Step 3: Cross multiply
    354,296.32x = 538,005.59 × 538,005.59
  4. Step 4: Simplify right side
    354,296.32x = 289,450,010,499.95
  5. Step 5: Solve for x
    x = 289,450,010,499.95/354,296.32
  6. Step 6: Final answer
    x = 816,971.54

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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.