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Finding the Third Proportional to 262,882 and 570,052

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Solution

The third proportional to 262,882 and 570,052 is: 1,236,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882 : 570,052 = 570,052 : x
  2. Step 2: Convert to fraction form
    262,882/570,052 = 570,052/x
  3. Step 3: Cross multiply
    262,882x = 570,052 × 570,052
  4. Step 4: Simplify right side
    262,882x = 324,959,282,704
  5. Step 5: Solve for x
    x = 324,959,282,704/262,882
  6. Step 6: Final answer
    x = 1,236,141.24

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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.