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Finding the Third Proportional to 262,866 and 570,018

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Solution

The third proportional to 262,866 and 570,018 is: 1,236,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,866 : 570,018 = 570,018 : x
  2. Step 2: Convert to fraction form
    262,866/570,018 = 570,018/x
  3. Step 3: Cross multiply
    262,866x = 570,018 × 570,018
  4. Step 4: Simplify right side
    262,866x = 324,920,520,324
  5. Step 5: Solve for x
    x = 324,920,520,324/262,866
  6. Step 6: Final answer
    x = 1,236,069.02

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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.