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Finding the Third Proportional to 300,465 and 609,227

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Solution

The third proportional to 300,465 and 609,227 is: 1,235,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,465 : 609,227 = 609,227 : x
  2. Step 2: Convert to fraction form
    300,465/609,227 = 609,227/x
  3. Step 3: Cross multiply
    300,465x = 609,227 × 609,227
  4. Step 4: Simplify right side
    300,465x = 371,157,537,529
  5. Step 5: Solve for x
    x = 371,157,537,529/300,465
  6. Step 6: Final answer
    x = 1,235,277.11

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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.