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Finding the Third Proportional to 205,899 and 444,602

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Solution

The third proportional to 205,899 and 444,602 is: 960,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,899 : 444,602 = 444,602 : x
  2. Step 2: Convert to fraction form
    205,899/444,602 = 444,602/x
  3. Step 3: Cross multiply
    205,899x = 444,602 × 444,602
  4. Step 4: Simplify right side
    205,899x = 197,670,938,404
  5. Step 5: Solve for x
    x = 197,670,938,404/205,899
  6. Step 6: Final answer
    x = 960,038.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.