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Finding the Third Proportional to 694,021.50 and 945,486

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Solution

The third proportional to 694,021.50 and 945,486 is: 1,288,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,021.50 : 945,486 = 945,486 : x
  2. Step 2: Convert to fraction form
    694,021.50/945,486 = 945,486/x
  3. Step 3: Cross multiply
    694,021.50x = 945,486 × 945,486
  4. Step 4: Simplify right side
    694,021.50x = 893,943,776,196
  5. Step 5: Solve for x
    x = 893,943,776,196/694,021.50
  6. Step 6: Final answer
    x = 1,288,063.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.