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Finding the Third Proportional to 312,714 and 609,873

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Solution

The third proportional to 312,714 and 609,873 is: 1,189,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714 : 609,873 = 609,873 : x
  2. Step 2: Convert to fraction form
    312,714/609,873 = 609,873/x
  3. Step 3: Cross multiply
    312,714x = 609,873 × 609,873
  4. Step 4: Simplify right side
    312,714x = 371,945,076,129
  5. Step 5: Solve for x
    x = 371,945,076,129/312,714
  6. Step 6: Final answer
    x = 1,189,409.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.