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Finding the Third Proportional to 225,524 and 495,692

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Solution

The third proportional to 225,524 and 495,692 is: 1,089,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,524 : 495,692 = 495,692 : x
  2. Step 2: Convert to fraction form
    225,524/495,692 = 495,692/x
  3. Step 3: Cross multiply
    225,524x = 495,692 × 495,692
  4. Step 4: Simplify right side
    225,524x = 245,710,558,864
  5. Step 5: Solve for x
    x = 245,710,558,864/225,524
  6. Step 6: Final answer
    x = 1,089,509.58

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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.