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Finding the Third Proportional to 265,934 and 585,796

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Solution

The third proportional to 265,934 and 585,796 is: 1,290,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,934 : 585,796 = 585,796 : x
  2. Step 2: Convert to fraction form
    265,934/585,796 = 585,796/x
  3. Step 3: Cross multiply
    265,934x = 585,796 × 585,796
  4. Step 4: Simplify right side
    265,934x = 343,156,953,616
  5. Step 5: Solve for x
    x = 343,156,953,616/265,934
  6. Step 6: Final answer
    x = 1,290,383.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.