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Finding the Third Proportional to 305,866 and 482,013

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Solution

The third proportional to 305,866 and 482,013 is: 759,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,866 : 482,013 = 482,013 : x
  2. Step 2: Convert to fraction form
    305,866/482,013 = 482,013/x
  3. Step 3: Cross multiply
    305,866x = 482,013 × 482,013
  4. Step 4: Simplify right side
    305,866x = 232,336,532,169
  5. Step 5: Solve for x
    x = 232,336,532,169/305,866
  6. Step 6: Final answer
    x = 759,602.35

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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.