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Finding the Third Proportional to 475,814.25 and 694,733.63

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Solution

The third proportional to 475,814.25 and 694,733.63 is: 1,014,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,814.25 : 694,733.63 = 694,733.63 : x
  2. Step 2: Convert to fraction form
    475,814.25/694,733.63 = 694,733.63/x
  3. Step 3: Cross multiply
    475,814.25x = 694,733.63 × 694,733.63
  4. Step 4: Simplify right side
    475,814.25x = 482,654,809,705.64
  5. Step 5: Solve for x
    x = 482,654,809,705.64/475,814.25
  6. Step 6: Final answer
    x = 1,014,376.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.