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Finding the Third Proportional to 225,520 and 495,684

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Solution

The third proportional to 225,520 and 495,684 is: 1,089,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,520 : 495,684 = 495,684 : x
  2. Step 2: Convert to fraction form
    225,520/495,684 = 495,684/x
  3. Step 3: Cross multiply
    225,520x = 495,684 × 495,684
  4. Step 4: Simplify right side
    225,520x = 245,702,627,856
  5. Step 5: Solve for x
    x = 245,702,627,856/225,520
  6. Step 6: Final answer
    x = 1,089,493.74

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Why These Related Problems?

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