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Finding the Third Proportional to 228,451.50 and 526,531.50

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Solution

The third proportional to 228,451.50 and 526,531.50 is: 1,213,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.50 : 526,531.50 = 526,531.50 : x
  2. Step 2: Convert to fraction form
    228,451.50/526,531.50 = 526,531.50/x
  3. Step 3: Cross multiply
    228,451.50x = 526,531.50 × 526,531.50
  4. Step 4: Simplify right side
    228,451.50x = 277,235,420,492.25
  5. Step 5: Solve for x
    x = 277,235,420,492.25/228,451.50
  6. Step 6: Final answer
    x = 1,213,541.69

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.