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Finding the Third Proportional to 269,652 and 585,141

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Solution

The third proportional to 269,652 and 585,141 is: 1,269,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,652 : 585,141 = 585,141 : x
  2. Step 2: Convert to fraction form
    269,652/585,141 = 585,141/x
  3. Step 3: Cross multiply
    269,652x = 585,141 × 585,141
  4. Step 4: Simplify right side
    269,652x = 342,389,989,881
  5. Step 5: Solve for x
    x = 342,389,989,881/269,652
  6. Step 6: Final answer
    x = 1,269,747.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.