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Finding the Third Proportional to 227,719 and 365,878.50

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Solution

The third proportional to 227,719 and 365,878.50 is: 587,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,719 : 365,878.50 = 365,878.50 : x
  2. Step 2: Convert to fraction form
    227,719/365,878.50 = 365,878.50/x
  3. Step 3: Cross multiply
    227,719x = 365,878.50 × 365,878.50
  4. Step 4: Simplify right side
    227,719x = 133,867,076,762.25
  5. Step 5: Solve for x
    x = 133,867,076,762.25/227,719
  6. Step 6: Final answer
    x = 587,860.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.