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Finding the Third Proportional to 262,807 and 566,802

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Solution

The third proportional to 262,807 and 566,802 is: 1,222,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807 : 566,802 = 566,802 : x
  2. Step 2: Convert to fraction form
    262,807/566,802 = 566,802/x
  3. Step 3: Cross multiply
    262,807x = 566,802 × 566,802
  4. Step 4: Simplify right side
    262,807x = 321,264,507,204
  5. Step 5: Solve for x
    x = 321,264,507,204/262,807
  6. Step 6: Final answer
    x = 1,222,435.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.