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Finding the Third Proportional to 245,683 and 520,891

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Solution

The third proportional to 245,683 and 520,891 is: 1,104,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,683 : 520,891 = 520,891 : x
  2. Step 2: Convert to fraction form
    245,683/520,891 = 520,891/x
  3. Step 3: Cross multiply
    245,683x = 520,891 × 520,891
  4. Step 4: Simplify right side
    245,683x = 271,327,433,881
  5. Step 5: Solve for x
    x = 271,327,433,881/245,683
  6. Step 6: Final answer
    x = 1,104,380.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.