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Finding the Third Proportional to 578,704.50 and 1,269,462.38

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Solution

The third proportional to 578,704.50 and 1,269,462.38 is: 2,784,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,704.50 : 1,269,462.38 = 1,269,462.38 : x
  2. Step 2: Convert to fraction form
    578,704.50/1,269,462.38 = 1,269,462.38/x
  3. Step 3: Cross multiply
    578,704.50x = 1,269,462.38 × 1,269,462.38
  4. Step 4: Simplify right side
    578,704.50x = 1,611,534,721,540.64
  5. Step 5: Solve for x
    x = 1,611,534,721,540.64/578,704.50
  6. Step 6: Final answer
    x = 2,784,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.