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Finding the Third Proportional to 289,941 and 599,771

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Solution

The third proportional to 289,941 and 599,771 is: 1,240,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,941 : 599,771 = 599,771 : x
  2. Step 2: Convert to fraction form
    289,941/599,771 = 599,771/x
  3. Step 3: Cross multiply
    289,941x = 599,771 × 599,771
  4. Step 4: Simplify right side
    289,941x = 359,725,252,441
  5. Step 5: Solve for x
    x = 359,725,252,441/289,941
  6. Step 6: Final answer
    x = 1,240,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.