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Finding the Third Proportional to 289,074 and 444,875

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Solution

The third proportional to 289,074 and 444,875 is: 684,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,074 : 444,875 = 444,875 : x
  2. Step 2: Convert to fraction form
    289,074/444,875 = 444,875/x
  3. Step 3: Cross multiply
    289,074x = 444,875 × 444,875
  4. Step 4: Simplify right side
    289,074x = 197,913,765,625
  5. Step 5: Solve for x
    x = 197,913,765,625/289,074
  6. Step 6: Final answer
    x = 684,647.41

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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.