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Finding the Third Proportional to 269,058 and 584,772

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Solution

The third proportional to 269,058 and 584,772 is: 1,270,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,058 : 584,772 = 584,772 : x
  2. Step 2: Convert to fraction form
    269,058/584,772 = 584,772/x
  3. Step 3: Cross multiply
    269,058x = 584,772 × 584,772
  4. Step 4: Simplify right side
    269,058x = 341,958,291,984
  5. Step 5: Solve for x
    x = 341,958,291,984/269,058
  6. Step 6: Final answer
    x = 1,270,946.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.