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Finding the Third Proportional to 263,009 and 567,984

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Solution

The third proportional to 263,009 and 567,984 is: 1,226,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,009 : 567,984 = 567,984 : x
  2. Step 2: Convert to fraction form
    263,009/567,984 = 567,984/x
  3. Step 3: Cross multiply
    263,009x = 567,984 × 567,984
  4. Step 4: Simplify right side
    263,009x = 322,605,824,256
  5. Step 5: Solve for x
    x = 322,605,824,256/263,009
  6. Step 6: Final answer
    x = 1,226,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.