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Finding the Third Proportional to 305,871 and 482,021

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Solution

The third proportional to 305,871 and 482,021 is: 759,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,871 : 482,021 = 482,021 : x
  2. Step 2: Convert to fraction form
    305,871/482,021 = 482,021/x
  3. Step 3: Cross multiply
    305,871x = 482,021 × 482,021
  4. Step 4: Simplify right side
    305,871x = 232,344,244,441
  5. Step 5: Solve for x
    x = 232,344,244,441/305,871
  6. Step 6: Final answer
    x = 759,615.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.