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Finding the Third Proportional to 200,284 and 439,992

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Solution

The third proportional to 200,284 and 439,992 is: 966,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284 : 439,992 = 439,992 : x
  2. Step 2: Convert to fraction form
    200,284/439,992 = 439,992/x
  3. Step 3: Cross multiply
    200,284x = 439,992 × 439,992
  4. Step 4: Simplify right side
    200,284x = 193,592,960,064
  5. Step 5: Solve for x
    x = 193,592,960,064/200,284
  6. Step 6: Final answer
    x = 966,592.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.