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Finding the Third Proportional to 291,213 and 445,860

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Solution

The third proportional to 291,213 and 445,860 is: 682,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213 : 445,860 = 445,860 : x
  2. Step 2: Convert to fraction form
    291,213/445,860 = 445,860/x
  3. Step 3: Cross multiply
    291,213x = 445,860 × 445,860
  4. Step 4: Simplify right side
    291,213x = 198,791,139,600
  5. Step 5: Solve for x
    x = 198,791,139,600/291,213
  6. Step 6: Final answer
    x = 682,631.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.