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Finding the Third Proportional to 304,418 and 482,010

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Solution

The third proportional to 304,418 and 482,010 is: 763,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,418 : 482,010 = 482,010 : x
  2. Step 2: Convert to fraction form
    304,418/482,010 = 482,010/x
  3. Step 3: Cross multiply
    304,418x = 482,010 × 482,010
  4. Step 4: Simplify right side
    304,418x = 232,333,640,100
  5. Step 5: Solve for x
    x = 232,333,640,100/304,418
  6. Step 6: Final answer
    x = 763,205.99

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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.