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Finding the Third Proportional to 668,269.50 and 886,132.50

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Solution

The third proportional to 668,269.50 and 886,132.50 is: 1,175,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,269.50 : 886,132.50 = 886,132.50 : x
  2. Step 2: Convert to fraction form
    668,269.50/886,132.50 = 886,132.50/x
  3. Step 3: Cross multiply
    668,269.50x = 886,132.50 × 886,132.50
  4. Step 4: Simplify right side
    668,269.50x = 785,230,807,556.25
  5. Step 5: Solve for x
    x = 785,230,807,556.25/668,269.50
  6. Step 6: Final answer
    x = 1,175,021.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.