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Finding the Third Proportional to 269,296 and 573,583

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Solution

The third proportional to 269,296 and 573,583 is: 1,221,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,296 : 573,583 = 573,583 : x
  2. Step 2: Convert to fraction form
    269,296/573,583 = 573,583/x
  3. Step 3: Cross multiply
    269,296x = 573,583 × 573,583
  4. Step 4: Simplify right side
    269,296x = 328,997,457,889
  5. Step 5: Solve for x
    x = 328,997,457,889/269,296
  6. Step 6: Final answer
    x = 1,221,694.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.