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Finding the Third Proportional to 253,674 and 354,663

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Solution

The third proportional to 253,674 and 354,663 is: 495,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,674 : 354,663 = 354,663 : x
  2. Step 2: Convert to fraction form
    253,674/354,663 = 354,663/x
  3. Step 3: Cross multiply
    253,674x = 354,663 × 354,663
  4. Step 4: Simplify right side
    253,674x = 125,785,843,569
  5. Step 5: Solve for x
    x = 125,785,843,569/253,674
  6. Step 6: Final answer
    x = 495,856.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.