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Finding the Third Proportional to 368,806.50 and 551,164.50

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Solution

The third proportional to 368,806.50 and 551,164.50 is: 823,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,806.50 : 551,164.50 = 551,164.50 : x
  2. Step 2: Convert to fraction form
    368,806.50/551,164.50 = 551,164.50/x
  3. Step 3: Cross multiply
    368,806.50x = 551,164.50 × 551,164.50
  4. Step 4: Simplify right side
    368,806.50x = 303,782,306,060.25
  5. Step 5: Solve for x
    x = 303,782,306,060.25/368,806.50
  6. Step 6: Final answer
    x = 823,690.22

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Why These Related Problems?

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