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Finding the Third Proportional to 289,264 and 444,910

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Solution

The third proportional to 289,264 and 444,910 is: 684,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,264 : 444,910 = 444,910 : x
  2. Step 2: Convert to fraction form
    289,264/444,910 = 444,910/x
  3. Step 3: Cross multiply
    289,264x = 444,910 × 444,910
  4. Step 4: Simplify right side
    289,264x = 197,944,908,100
  5. Step 5: Solve for x
    x = 197,944,908,100/289,264
  6. Step 6: Final answer
    x = 684,305.37

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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.