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Finding the Third Proportional to 225,528 and 495,696

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Solution

The third proportional to 225,528 and 495,696 is: 1,089,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,528 : 495,696 = 495,696 : x
  2. Step 2: Convert to fraction form
    225,528/495,696 = 495,696/x
  3. Step 3: Cross multiply
    225,528x = 495,696 × 495,696
  4. Step 4: Simplify right side
    225,528x = 245,714,524,416
  5. Step 5: Solve for x
    x = 245,714,524,416/225,528
  6. Step 6: Final answer
    x = 1,089,507.84

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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.