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Finding the Third Proportional to 225,504 and 495,648

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Solution

The third proportional to 225,504 and 495,648 is: 1,089,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504 : 495,648 = 495,648 : x
  2. Step 2: Convert to fraction form
    225,504/495,648 = 495,648/x
  3. Step 3: Cross multiply
    225,504x = 495,648 × 495,648
  4. Step 4: Simplify right side
    225,504x = 245,666,939,904
  5. Step 5: Solve for x
    x = 245,666,939,904/225,504
  6. Step 6: Final answer
    x = 1,089,412.78

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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.