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Finding the Third Proportional to 287,511 and 411,694

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Solution

The third proportional to 287,511 and 411,694 is: 589,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,511 : 411,694 = 411,694 : x
  2. Step 2: Convert to fraction form
    287,511/411,694 = 411,694/x
  3. Step 3: Cross multiply
    287,511x = 411,694 × 411,694
  4. Step 4: Simplify right side
    287,511x = 169,491,949,636
  5. Step 5: Solve for x
    x = 169,491,949,636/287,511
  6. Step 6: Final answer
    x = 589,514.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.