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Finding the Third Proportional to 231,774 and 488,455.50

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Solution

The third proportional to 231,774 and 488,455.50 is: 1,029,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774 : 488,455.50 = 488,455.50 : x
  2. Step 2: Convert to fraction form
    231,774/488,455.50 = 488,455.50/x
  3. Step 3: Cross multiply
    231,774x = 488,455.50 × 488,455.50
  4. Step 4: Simplify right side
    231,774x = 238,588,775,480.25
  5. Step 5: Solve for x
    x = 238,588,775,480.25/231,774
  6. Step 6: Final answer
    x = 1,029,402.67

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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.