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Finding the Third Proportional to 262,797 and 576,462

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Solution

The third proportional to 262,797 and 576,462 is: 1,264,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,797 : 576,462 = 576,462 : x
  2. Step 2: Convert to fraction form
    262,797/576,462 = 576,462/x
  3. Step 3: Cross multiply
    262,797x = 576,462 × 576,462
  4. Step 4: Simplify right side
    262,797x = 332,308,437,444
  5. Step 5: Solve for x
    x = 332,308,437,444/262,797
  6. Step 6: Final answer
    x = 1,264,506.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.