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Finding the Third Proportional to 302,848 and 441,128

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Solution

The third proportional to 302,848 and 441,128 is: 642,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,848 : 441,128 = 441,128 : x
  2. Step 2: Convert to fraction form
    302,848/441,128 = 441,128/x
  3. Step 3: Cross multiply
    302,848x = 441,128 × 441,128
  4. Step 4: Simplify right side
    302,848x = 194,593,912,384
  5. Step 5: Solve for x
    x = 194,593,912,384/302,848
  6. Step 6: Final answer
    x = 642,546.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.