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Finding the Third Proportional to 246,090.50 and 511,824

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Solution

The third proportional to 246,090.50 and 511,824 is: 1,064,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,090.50 : 511,824 = 511,824 : x
  2. Step 2: Convert to fraction form
    246,090.50/511,824 = 511,824/x
  3. Step 3: Cross multiply
    246,090.50x = 511,824 × 511,824
  4. Step 4: Simplify right side
    246,090.50x = 261,963,806,976
  5. Step 5: Solve for x
    x = 261,963,806,976/246,090.50
  6. Step 6: Final answer
    x = 1,064,501.91

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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.