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Finding the Third Proportional to 289,101 and 444,924

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Solution

The third proportional to 289,101 and 444,924 is: 684,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,101 : 444,924 = 444,924 : x
  2. Step 2: Convert to fraction form
    289,101/444,924 = 444,924/x
  3. Step 3: Cross multiply
    289,101x = 444,924 × 444,924
  4. Step 4: Simplify right side
    289,101x = 197,957,365,776
  5. Step 5: Solve for x
    x = 197,957,365,776/289,101
  6. Step 6: Final answer
    x = 684,734.28

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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.