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Finding the Third Proportional to 253,461 and 354,357

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Solution

The third proportional to 253,461 and 354,357 is: 495,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,461 : 354,357 = 354,357 : x
  2. Step 2: Convert to fraction form
    253,461/354,357 = 354,357/x
  3. Step 3: Cross multiply
    253,461x = 354,357 × 354,357
  4. Step 4: Simplify right side
    253,461x = 125,568,883,449
  5. Step 5: Solve for x
    x = 125,568,883,449/253,461
  6. Step 6: Final answer
    x = 495,416.98

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Why These Related Problems?

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