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Finding the Third Proportional to 579,778 and 835,063

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Solution

The third proportional to 579,778 and 835,063 is: 1,202,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,778 : 835,063 = 835,063 : x
  2. Step 2: Convert to fraction form
    579,778/835,063 = 835,063/x
  3. Step 3: Cross multiply
    579,778x = 835,063 × 835,063
  4. Step 4: Simplify right side
    579,778x = 697,330,213,969
  5. Step 5: Solve for x
    x = 697,330,213,969/579,778
  6. Step 6: Final answer
    x = 1,202,753.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.