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Finding the Third Proportional to 289,742 and 461,037

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Solution

The third proportional to 289,742 and 461,037 is: 733,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,742 : 461,037 = 461,037 : x
  2. Step 2: Convert to fraction form
    289,742/461,037 = 461,037/x
  3. Step 3: Cross multiply
    289,742x = 461,037 × 461,037
  4. Step 4: Simplify right side
    289,742x = 212,555,115,369
  5. Step 5: Solve for x
    x = 212,555,115,369/289,742
  6. Step 6: Final answer
    x = 733,601.33

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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.