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Finding the Third Proportional to 300,460 and 609,217

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Solution

The third proportional to 300,460 and 609,217 is: 1,235,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,460 : 609,217 = 609,217 : x
  2. Step 2: Convert to fraction form
    300,460/609,217 = 609,217/x
  3. Step 3: Cross multiply
    300,460x = 609,217 × 609,217
  4. Step 4: Simplify right side
    300,460x = 371,145,353,089
  5. Step 5: Solve for x
    x = 371,145,353,089/300,460
  6. Step 6: Final answer
    x = 1,235,257.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.