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Finding the Third Proportional to 272,702 and 585,882

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Solution

The third proportional to 272,702 and 585,882 is: 1,258,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,702 : 585,882 = 585,882 : x
  2. Step 2: Convert to fraction form
    272,702/585,882 = 585,882/x
  3. Step 3: Cross multiply
    272,702x = 585,882 × 585,882
  4. Step 4: Simplify right side
    272,702x = 343,257,717,924
  5. Step 5: Solve for x
    x = 343,257,717,924/272,702
  6. Step 6: Final answer
    x = 1,258,728.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.