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Finding the Third Proportional to 272,682 and 585,844

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Solution

The third proportional to 272,682 and 585,844 is: 1,258,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,682 : 585,844 = 585,844 : x
  2. Step 2: Convert to fraction form
    272,682/585,844 = 585,844/x
  3. Step 3: Cross multiply
    272,682x = 585,844 × 585,844
  4. Step 4: Simplify right side
    272,682x = 343,213,192,336
  5. Step 5: Solve for x
    x = 343,213,192,336/272,682
  6. Step 6: Final answer
    x = 1,258,657.31

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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.