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Finding the Third Proportional to 228,280 and 491,696

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Solution

The third proportional to 228,280 and 491,696 is: 1,059,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,280 : 491,696 = 491,696 : x
  2. Step 2: Convert to fraction form
    228,280/491,696 = 491,696/x
  3. Step 3: Cross multiply
    228,280x = 491,696 × 491,696
  4. Step 4: Simplify right side
    228,280x = 241,764,956,416
  5. Step 5: Solve for x
    x = 241,764,956,416/228,280
  6. Step 6: Final answer
    x = 1,059,072.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.