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Finding the Third Proportional to 225,634 and 495,550

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Solution

The third proportional to 225,634 and 495,550 is: 1,088,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,634 : 495,550 = 495,550 : x
  2. Step 2: Convert to fraction form
    225,634/495,550 = 495,550/x
  3. Step 3: Cross multiply
    225,634x = 495,550 × 495,550
  4. Step 4: Simplify right side
    225,634x = 245,569,802,500
  5. Step 5: Solve for x
    x = 245,569,802,500/225,634
  6. Step 6: Final answer
    x = 1,088,354.60

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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.