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Finding the Third Proportional to 262,848 and 411,795

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Solution

The third proportional to 262,848 and 411,795 is: 645,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,848 : 411,795 = 411,795 : x
  2. Step 2: Convert to fraction form
    262,848/411,795 = 411,795/x
  3. Step 3: Cross multiply
    262,848x = 411,795 × 411,795
  4. Step 4: Simplify right side
    262,848x = 169,575,122,025
  5. Step 5: Solve for x
    x = 169,575,122,025/262,848
  6. Step 6: Final answer
    x = 645,145.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.