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Finding the Third Proportional to 290,600 and 444,352

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Solution

The third proportional to 290,600 and 444,352 is: 679,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,600 : 444,352 = 444,352 : x
  2. Step 2: Convert to fraction form
    290,600/444,352 = 444,352/x
  3. Step 3: Cross multiply
    290,600x = 444,352 × 444,352
  4. Step 4: Simplify right side
    290,600x = 197,448,699,904
  5. Step 5: Solve for x
    x = 197,448,699,904/290,600
  6. Step 6: Final answer
    x = 679,451.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.