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Finding the Third Proportional to 302,227 and 471,719

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Solution

The third proportional to 302,227 and 471,719 is: 736,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,227 : 471,719 = 471,719 : x
  2. Step 2: Convert to fraction form
    302,227/471,719 = 471,719/x
  3. Step 3: Cross multiply
    302,227x = 471,719 × 471,719
  4. Step 4: Simplify right side
    302,227x = 222,518,814,961
  5. Step 5: Solve for x
    x = 222,518,814,961/302,227
  6. Step 6: Final answer
    x = 736,263.85

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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.