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Finding the Third Proportional to 300,397.50 and 609,084

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Solution

The third proportional to 300,397.50 and 609,084 is: 1,234,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,397.50 : 609,084 = 609,084 : x
  2. Step 2: Convert to fraction form
    300,397.50/609,084 = 609,084/x
  3. Step 3: Cross multiply
    300,397.50x = 609,084 × 609,084
  4. Step 4: Simplify right side
    300,397.50x = 370,983,319,056
  5. Step 5: Solve for x
    x = 370,983,319,056/300,397.50
  6. Step 6: Final answer
    x = 1,234,974.72

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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.