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Finding the Third Proportional to 302,282 and 444,207

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Solution

The third proportional to 302,282 and 444,207 is: 652,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,282 : 444,207 = 444,207 : x
  2. Step 2: Convert to fraction form
    302,282/444,207 = 444,207/x
  3. Step 3: Cross multiply
    302,282x = 444,207 × 444,207
  4. Step 4: Simplify right side
    302,282x = 197,319,858,849
  5. Step 5: Solve for x
    x = 197,319,858,849/302,282
  6. Step 6: Final answer
    x = 652,767.48

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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.