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Finding the Third Proportional to 268,798 and 565,172

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Solution

The third proportional to 268,798 and 565,172 is: 1,188,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,798 : 565,172 = 565,172 : x
  2. Step 2: Convert to fraction form
    268,798/565,172 = 565,172/x
  3. Step 3: Cross multiply
    268,798x = 565,172 × 565,172
  4. Step 4: Simplify right side
    268,798x = 319,419,389,584
  5. Step 5: Solve for x
    x = 319,419,389,584/268,798
  6. Step 6: Final answer
    x = 1,188,325.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.