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Finding the Third Proportional to 300,404 and 609,097

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Solution

The third proportional to 300,404 and 609,097 is: 1,235,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,404 : 609,097 = 609,097 : x
  2. Step 2: Convert to fraction form
    300,404/609,097 = 609,097/x
  3. Step 3: Cross multiply
    300,404x = 609,097 × 609,097
  4. Step 4: Simplify right side
    300,404x = 370,999,155,409
  5. Step 5: Solve for x
    x = 370,999,155,409/300,404
  6. Step 6: Final answer
    x = 1,235,000.72

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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.