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Finding the Third Proportional to 287,195 and 476,992

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Solution

The third proportional to 287,195 and 476,992 is: 792,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,195 : 476,992 = 476,992 : x
  2. Step 2: Convert to fraction form
    287,195/476,992 = 476,992/x
  3. Step 3: Cross multiply
    287,195x = 476,992 × 476,992
  4. Step 4: Simplify right side
    287,195x = 227,521,368,064
  5. Step 5: Solve for x
    x = 227,521,368,064/287,195
  6. Step 6: Final answer
    x = 792,219.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.