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Finding the Third Proportional to 551,677.50 and 1,190,440.13

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Solution

The third proportional to 551,677.50 and 1,190,440.13 is: 2,568,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,677.50 : 1,190,440.13 = 1,190,440.13 : x
  2. Step 2: Convert to fraction form
    551,677.50/1,190,440.13 = 1,190,440.13/x
  3. Step 3: Cross multiply
    551,677.50x = 1,190,440.13 × 1,190,440.13
  4. Step 4: Simplify right side
    551,677.50x = 1,417,147,691,210.02
  5. Step 5: Solve for x
    x = 1,417,147,691,210.02/551,677.50
  6. Step 6: Final answer
    x = 2,568,797.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.