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Finding the Third Proportional to 289,908 and 461,214

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Solution

The third proportional to 289,908 and 461,214 is: 733,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,908 : 461,214 = 461,214 : x
  2. Step 2: Convert to fraction form
    289,908/461,214 = 461,214/x
  3. Step 3: Cross multiply
    289,908x = 461,214 × 461,214
  4. Step 4: Simplify right side
    289,908x = 212,718,353,796
  5. Step 5: Solve for x
    x = 212,718,353,796/289,908
  6. Step 6: Final answer
    x = 733,744.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.