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Finding the Third Proportional to 354,833 and 561,794

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Solution

The third proportional to 354,833 and 561,794 is: 889,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,833 : 561,794 = 561,794 : x
  2. Step 2: Convert to fraction form
    354,833/561,794 = 561,794/x
  3. Step 3: Cross multiply
    354,833x = 561,794 × 561,794
  4. Step 4: Simplify right side
    354,833x = 315,612,498,436
  5. Step 5: Solve for x
    x = 315,612,498,436/354,833
  6. Step 6: Final answer
    x = 889,467.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.