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Finding the Third Proportional to 426,190.50 and 661,698

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Solution

The third proportional to 426,190.50 and 661,698 is: 1,027,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,190.50 : 661,698 = 661,698 : x
  2. Step 2: Convert to fraction form
    426,190.50/661,698 = 661,698/x
  3. Step 3: Cross multiply
    426,190.50x = 661,698 × 661,698
  4. Step 4: Simplify right side
    426,190.50x = 437,844,243,204
  5. Step 5: Solve for x
    x = 437,844,243,204/426,190.50
  6. Step 6: Final answer
    x = 1,027,343.98

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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.