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Finding the Third Proportional to 570,693 and 854,256

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Solution

The third proportional to 570,693 and 854,256 is: 1,278,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,693 : 854,256 = 854,256 : x
  2. Step 2: Convert to fraction form
    570,693/854,256 = 854,256/x
  3. Step 3: Cross multiply
    570,693x = 854,256 × 854,256
  4. Step 4: Simplify right side
    570,693x = 729,753,313,536
  5. Step 5: Solve for x
    x = 729,753,313,536/570,693
  6. Step 6: Final answer
    x = 1,278,714.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.