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Finding the Third Proportional to 570,266 and 797,266

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Solution

The third proportional to 570,266 and 797,266 is: 1,114,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,266 : 797,266 = 797,266 : x
  2. Step 2: Convert to fraction form
    570,266/797,266 = 797,266/x
  3. Step 3: Cross multiply
    570,266x = 797,266 × 797,266
  4. Step 4: Simplify right side
    570,266x = 635,633,074,756
  5. Step 5: Solve for x
    x = 635,633,074,756/570,266
  6. Step 6: Final answer
    x = 1,114,625.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.