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Finding the Third Proportional to 269,128 and 584,848

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Solution

The third proportional to 269,128 and 584,848 is: 1,270,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,128 : 584,848 = 584,848 : x
  2. Step 2: Convert to fraction form
    269,128/584,848 = 584,848/x
  3. Step 3: Cross multiply
    269,128x = 584,848 × 584,848
  4. Step 4: Simplify right side
    269,128x = 342,047,183,104
  5. Step 5: Solve for x
    x = 342,047,183,104/269,128
  6. Step 6: Final answer
    x = 1,270,946.10

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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.