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Finding the Third Proportional to 596,502.56 and 903,441.09

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Solution

The third proportional to 596,502.56 and 903,441.09 is: 1,368,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,502.56 : 903,441.09 = 903,441.09 : x
  2. Step 2: Convert to fraction form
    596,502.56/903,441.09 = 903,441.09/x
  3. Step 3: Cross multiply
    596,502.56x = 903,441.09 × 903,441.09
  4. Step 4: Simplify right side
    596,502.56x = 816,205,809,876.20
  5. Step 5: Solve for x
    x = 816,205,809,876.20/596,502.56
  6. Step 6: Final answer
    x = 1,368,319.03

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