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Finding the Third Proportional to 302,328 and 471,872

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Solution

The third proportional to 302,328 and 471,872 is: 736,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,328 : 471,872 = 471,872 : x
  2. Step 2: Convert to fraction form
    302,328/471,872 = 471,872/x
  3. Step 3: Cross multiply
    302,328x = 471,872 × 471,872
  4. Step 4: Simplify right side
    302,328x = 222,663,184,384
  5. Step 5: Solve for x
    x = 222,663,184,384/302,328
  6. Step 6: Final answer
    x = 736,495.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.