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Finding the Third Proportional to 288,929 and 444,329

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Solution

The third proportional to 288,929 and 444,329 is: 683,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,929 : 444,329 = 444,329 : x
  2. Step 2: Convert to fraction form
    288,929/444,329 = 444,329/x
  3. Step 3: Cross multiply
    288,929x = 444,329 × 444,329
  4. Step 4: Simplify right side
    288,929x = 197,428,260,241
  5. Step 5: Solve for x
    x = 197,428,260,241/288,929
  6. Step 6: Final answer
    x = 683,310.64

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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.