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Finding the Third Proportional to 566,976 and 853,026

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Solution

The third proportional to 566,976 and 853,026 is: 1,283,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,976 : 853,026 = 853,026 : x
  2. Step 2: Convert to fraction form
    566,976/853,026 = 853,026/x
  3. Step 3: Cross multiply
    566,976x = 853,026 × 853,026
  4. Step 4: Simplify right side
    566,976x = 727,653,356,676
  5. Step 5: Solve for x
    x = 727,653,356,676/566,976
  6. Step 6: Final answer
    x = 1,283,393.58

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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.