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Finding the Third Proportional to 246,705.75 and 512,803.41

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Solution

The third proportional to 246,705.75 and 512,803.41 is: 1,065,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,705.75 : 512,803.41 = 512,803.41 : x
  2. Step 2: Convert to fraction form
    246,705.75/512,803.41 = 512,803.41/x
  3. Step 3: Cross multiply
    246,705.75x = 512,803.41 × 512,803.41
  4. Step 4: Simplify right side
    246,705.75x = 262,967,333,461.60
  5. Step 5: Solve for x
    x = 262,967,333,461.60/246,705.75
  6. Step 6: Final answer
    x = 1,065,914.89

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