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Finding the Third Proportional to 302,419 and 444,868

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Solution

The third proportional to 302,419 and 444,868 is: 654,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,419 : 444,868 = 444,868 : x
  2. Step 2: Convert to fraction form
    302,419/444,868 = 444,868/x
  3. Step 3: Cross multiply
    302,419x = 444,868 × 444,868
  4. Step 4: Simplify right side
    302,419x = 197,907,537,424
  5. Step 5: Solve for x
    x = 197,907,537,424/302,419
  6. Step 6: Final answer
    x = 654,415.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.