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Finding the Third Proportional to 694,676.25 and 1,039,098.38

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Solution

The third proportional to 694,676.25 and 1,039,098.38 is: 1,554,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,676.25 : 1,039,098.38 = 1,039,098.38 : x
  2. Step 2: Convert to fraction form
    694,676.25/1,039,098.38 = 1,039,098.38/x
  3. Step 3: Cross multiply
    694,676.25x = 1,039,098.38 × 1,039,098.38
  4. Step 4: Simplify right side
    694,676.25x = 1,079,725,432,927.64
  5. Step 5: Solve for x
    x = 1,079,725,432,927.64/694,676.25
  6. Step 6: Final answer
    x = 1,554,285.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.