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Finding the Third Proportional to 262,461 and 580,899

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Solution

The third proportional to 262,461 and 580,899 is: 1,285,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,461 : 580,899 = 580,899 : x
  2. Step 2: Convert to fraction form
    262,461/580,899 = 580,899/x
  3. Step 3: Cross multiply
    262,461x = 580,899 × 580,899
  4. Step 4: Simplify right side
    262,461x = 337,443,648,201
  5. Step 5: Solve for x
    x = 337,443,648,201/262,461
  6. Step 6: Final answer
    x = 1,285,690.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.