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Finding the Third Proportional to 289,236 and 600,345

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Solution

The third proportional to 289,236 and 600,345 is: 1,246,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,236 : 600,345 = 600,345 : x
  2. Step 2: Convert to fraction form
    289,236/600,345 = 600,345/x
  3. Step 3: Cross multiply
    289,236x = 600,345 × 600,345
  4. Step 4: Simplify right side
    289,236x = 360,414,119,025
  5. Step 5: Solve for x
    x = 360,414,119,025/289,236
  6. Step 6: Final answer
    x = 1,246,090.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.