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Finding the Third Proportional to 225,664 and 495,614

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Solution

The third proportional to 225,664 and 495,614 is: 1,088,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664 : 495,614 = 495,614 : x
  2. Step 2: Convert to fraction form
    225,664/495,614 = 495,614/x
  3. Step 3: Cross multiply
    225,664x = 495,614 × 495,614
  4. Step 4: Simplify right side
    225,664x = 245,633,236,996
  5. Step 5: Solve for x
    x = 245,633,236,996/225,664
  6. Step 6: Final answer
    x = 1,088,491.02

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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.