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Finding the Third Proportional to 579,576 and 763,956

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Solution

The third proportional to 579,576 and 763,956 is: 1,006,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,576 : 763,956 = 763,956 : x
  2. Step 2: Convert to fraction form
    579,576/763,956 = 763,956/x
  3. Step 3: Cross multiply
    579,576x = 763,956 × 763,956
  4. Step 4: Simplify right side
    579,576x = 583,628,769,936
  5. Step 5: Solve for x
    x = 583,628,769,936/579,576
  6. Step 6: Final answer
    x = 1,006,992.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.