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Finding the Third Proportional to 515,920 and 700,606

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Solution

The third proportional to 515,920 and 700,606 is: 951,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,920 : 700,606 = 700,606 : x
  2. Step 2: Convert to fraction form
    515,920/700,606 = 700,606/x
  3. Step 3: Cross multiply
    515,920x = 700,606 × 700,606
  4. Step 4: Simplify right side
    515,920x = 490,848,767,236
  5. Step 5: Solve for x
    x = 490,848,767,236/515,920
  6. Step 6: Final answer
    x = 951,404.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.