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Finding the Third Proportional to 354,488 and 544,876

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Solution

The third proportional to 354,488 and 544,876 is: 837,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,488 : 544,876 = 544,876 : x
  2. Step 2: Convert to fraction form
    354,488/544,876 = 544,876/x
  3. Step 3: Cross multiply
    354,488x = 544,876 × 544,876
  4. Step 4: Simplify right side
    354,488x = 296,889,855,376
  5. Step 5: Solve for x
    x = 296,889,855,376/354,488
  6. Step 6: Final answer
    x = 837,517.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.