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Finding the Third Proportional to 228,507.75 and 495,150.75

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Solution

The third proportional to 228,507.75 and 495,150.75 is: 1,072,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,507.75 : 495,150.75 = 495,150.75 : x
  2. Step 2: Convert to fraction form
    228,507.75/495,150.75 = 495,150.75/x
  3. Step 3: Cross multiply
    228,507.75x = 495,150.75 × 495,150.75
  4. Step 4: Simplify right side
    228,507.75x = 245,174,265,225.56
  5. Step 5: Solve for x
    x = 245,174,265,225.56/228,507.75
  6. Step 6: Final answer
    x = 1,072,936.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.