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Finding the Third Proportional to 426,186 and 661,690.50

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Solution

The third proportional to 426,186 and 661,690.50 is: 1,027,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,186 : 661,690.50 = 661,690.50 : x
  2. Step 2: Convert to fraction form
    426,186/661,690.50 = 661,690.50/x
  3. Step 3: Cross multiply
    426,186x = 661,690.50 × 661,690.50
  4. Step 4: Simplify right side
    426,186x = 437,834,317,790.25
  5. Step 5: Solve for x
    x = 437,834,317,790.25/426,186
  6. Step 6: Final answer
    x = 1,027,331.54

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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.