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Finding the Third Proportional to 225,522 and 495,682

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Solution

The third proportional to 225,522 and 495,682 is: 1,089,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,522 : 495,682 = 495,682 : x
  2. Step 2: Convert to fraction form
    225,522/495,682 = 495,682/x
  3. Step 3: Cross multiply
    225,522x = 495,682 × 495,682
  4. Step 4: Simplify right side
    225,522x = 245,700,645,124
  5. Step 5: Solve for x
    x = 245,700,645,124/225,522
  6. Step 6: Final answer
    x = 1,089,475.28

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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.