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Finding the Third Proportional to 302,186 and 444,927

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Solution

The third proportional to 302,186 and 444,927 is: 655,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,186 : 444,927 = 444,927 : x
  2. Step 2: Convert to fraction form
    302,186/444,927 = 444,927/x
  3. Step 3: Cross multiply
    302,186x = 444,927 × 444,927
  4. Step 4: Simplify right side
    302,186x = 197,960,035,329
  5. Step 5: Solve for x
    x = 197,960,035,329/302,186
  6. Step 6: Final answer
    x = 655,093.34

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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.