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Finding the Third Proportional to 225,643.50 and 495,567

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Solution

The third proportional to 225,643.50 and 495,567 is: 1,088,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,643.50 : 495,567 = 495,567 : x
  2. Step 2: Convert to fraction form
    225,643.50/495,567 = 495,567/x
  3. Step 3: Cross multiply
    225,643.50x = 495,567 × 495,567
  4. Step 4: Simplify right side
    225,643.50x = 245,586,651,489
  5. Step 5: Solve for x
    x = 245,586,651,489/225,643.50
  6. Step 6: Final answer
    x = 1,088,383.45

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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.