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Finding the Third Proportional to 300,780 and 609,840

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Solution

The third proportional to 300,780 and 609,840 is: 1,236,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,780 : 609,840 = 609,840 : x
  2. Step 2: Convert to fraction form
    300,780/609,840 = 609,840/x
  3. Step 3: Cross multiply
    300,780x = 609,840 × 609,840
  4. Step 4: Simplify right side
    300,780x = 371,904,825,600
  5. Step 5: Solve for x
    x = 371,904,825,600/300,780
  6. Step 6: Final answer
    x = 1,236,467.94

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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.