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Finding the Third Proportional to 269,282 and 566,420

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Solution

The third proportional to 269,282 and 566,420 is: 1,191,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,282 : 566,420 = 566,420 : x
  2. Step 2: Convert to fraction form
    269,282/566,420 = 566,420/x
  3. Step 3: Cross multiply
    269,282x = 566,420 × 566,420
  4. Step 4: Simplify right side
    269,282x = 320,831,616,400
  5. Step 5: Solve for x
    x = 320,831,616,400/269,282
  6. Step 6: Final answer
    x = 1,191,433.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.