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Finding the Third Proportional to 246,714.75 and 512,821.25

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Solution

The third proportional to 246,714.75 and 512,821.25 is: 1,065,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,714.75 : 512,821.25 = 512,821.25 : x
  2. Step 2: Convert to fraction form
    246,714.75/512,821.25 = 512,821.25/x
  3. Step 3: Cross multiply
    246,714.75x = 512,821.25 × 512,821.25
  4. Step 4: Simplify right side
    246,714.75x = 262,985,634,451.56
  5. Step 5: Solve for x
    x = 262,985,634,451.56/246,714.75
  6. Step 6: Final answer
    x = 1,065,950.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.