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Finding the Third Proportional to 225,508 and 495,656

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Solution

The third proportional to 225,508 and 495,656 is: 1,089,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508 : 495,656 = 495,656 : x
  2. Step 2: Convert to fraction form
    225,508/495,656 = 495,656/x
  3. Step 3: Cross multiply
    225,508x = 495,656 × 495,656
  4. Step 4: Simplify right side
    225,508x = 245,674,870,336
  5. Step 5: Solve for x
    x = 245,674,870,336/225,508
  6. Step 6: Final answer
    x = 1,089,428.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.