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Finding the Third Proportional to 262,874 and 570,035

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Solution

The third proportional to 262,874 and 570,035 is: 1,236,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,874 : 570,035 = 570,035 : x
  2. Step 2: Convert to fraction form
    262,874/570,035 = 570,035/x
  3. Step 3: Cross multiply
    262,874x = 570,035 × 570,035
  4. Step 4: Simplify right side
    262,874x = 324,939,901,225
  5. Step 5: Solve for x
    x = 324,939,901,225/262,874
  6. Step 6: Final answer
    x = 1,236,105.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.