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Finding the Third Proportional to 377,995.50 and 584,856

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Solution

The third proportional to 377,995.50 and 584,856 is: 904,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,995.50 : 584,856 = 584,856 : x
  2. Step 2: Convert to fraction form
    377,995.50/584,856 = 584,856/x
  3. Step 3: Cross multiply
    377,995.50x = 584,856 × 584,856
  4. Step 4: Simplify right side
    377,995.50x = 342,056,540,736
  5. Step 5: Solve for x
    x = 342,056,540,736/377,995.50
  6. Step 6: Final answer
    x = 904,922.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.