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Finding the Third Proportional to 309,086 and 651,381.50

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Solution

The third proportional to 309,086 and 651,381.50 is: 1,372,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,086 : 651,381.50 = 651,381.50 : x
  2. Step 2: Convert to fraction form
    309,086/651,381.50 = 651,381.50/x
  3. Step 3: Cross multiply
    309,086x = 651,381.50 × 651,381.50
  4. Step 4: Simplify right side
    309,086x = 424,297,858,542.25
  5. Step 5: Solve for x
    x = 424,297,858,542.25/309,086
  6. Step 6: Final answer
    x = 1,372,750.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.