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Finding the Third Proportional to 269,989 and 580,044

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Solution

The third proportional to 269,989 and 580,044 is: 1,246,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,989 : 580,044 = 580,044 : x
  2. Step 2: Convert to fraction form
    269,989/580,044 = 580,044/x
  3. Step 3: Cross multiply
    269,989x = 580,044 × 580,044
  4. Step 4: Simplify right side
    269,989x = 336,451,041,936
  5. Step 5: Solve for x
    x = 336,451,041,936/269,989
  6. Step 6: Final answer
    x = 1,246,165.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.