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Finding the Third Proportional to 287,694 and 586,812

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Solution

The third proportional to 287,694 and 586,812 is: 1,196,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,694 : 586,812 = 586,812 : x
  2. Step 2: Convert to fraction form
    287,694/586,812 = 586,812/x
  3. Step 3: Cross multiply
    287,694x = 586,812 × 586,812
  4. Step 4: Simplify right side
    287,694x = 344,348,323,344
  5. Step 5: Solve for x
    x = 344,348,323,344/287,694
  6. Step 6: Final answer
    x = 1,196,925.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.