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Finding the Third Proportional to 272,704 and 585,886

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Solution

The third proportional to 272,704 and 585,886 is: 1,258,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,704 : 585,886 = 585,886 : x
  2. Step 2: Convert to fraction form
    272,704/585,886 = 585,886/x
  3. Step 3: Cross multiply
    272,704x = 585,886 × 585,886
  4. Step 4: Simplify right side
    272,704x = 343,262,404,996
  5. Step 5: Solve for x
    x = 343,262,404,996/272,704
  6. Step 6: Final answer
    x = 1,258,736.23

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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.