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Finding the Third Proportional to 512,385.50 and 765,755

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Solution

The third proportional to 512,385.50 and 765,755 is: 1,144,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,385.50 : 765,755 = 765,755 : x
  2. Step 2: Convert to fraction form
    512,385.50/765,755 = 765,755/x
  3. Step 3: Cross multiply
    512,385.50x = 765,755 × 765,755
  4. Step 4: Simplify right side
    512,385.50x = 586,380,720,025
  5. Step 5: Solve for x
    x = 586,380,720,025/512,385.50
  6. Step 6: Final answer
    x = 1,144,413.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.