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Finding the Third Proportional to 305,863 and 482,009

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Solution

The third proportional to 305,863 and 482,009 is: 759,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863 : 482,009 = 482,009 : x
  2. Step 2: Convert to fraction form
    305,863/482,009 = 482,009/x
  3. Step 3: Cross multiply
    305,863x = 482,009 × 482,009
  4. Step 4: Simplify right side
    305,863x = 232,332,676,081
  5. Step 5: Solve for x
    x = 232,332,676,081/305,863
  6. Step 6: Final answer
    x = 759,597.19

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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.