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Finding the Third Proportional to 664,389 and 936,229.50

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Solution

The third proportional to 664,389 and 936,229.50 is: 1,319,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,389 : 936,229.50 = 936,229.50 : x
  2. Step 2: Convert to fraction form
    664,389/936,229.50 = 936,229.50/x
  3. Step 3: Cross multiply
    664,389x = 936,229.50 × 936,229.50
  4. Step 4: Simplify right side
    664,389x = 876,525,676,670.25
  5. Step 5: Solve for x
    x = 876,525,676,670.25/664,389
  6. Step 6: Final answer
    x = 1,319,295.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.