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Finding the Third Proportional to 287,633 and 627,174

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Solution

The third proportional to 287,633 and 627,174 is: 1,367,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,633 : 627,174 = 627,174 : x
  2. Step 2: Convert to fraction form
    287,633/627,174 = 627,174/x
  3. Step 3: Cross multiply
    287,633x = 627,174 × 627,174
  4. Step 4: Simplify right side
    287,633x = 393,347,226,276
  5. Step 5: Solve for x
    x = 393,347,226,276/287,633
  6. Step 6: Final answer
    x = 1,367,531.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.