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Finding the Third Proportional to 246,810 and 524,761.50

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Solution

The third proportional to 246,810 and 524,761.50 is: 1,115,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,810 : 524,761.50 = 524,761.50 : x
  2. Step 2: Convert to fraction form
    246,810/524,761.50 = 524,761.50/x
  3. Step 3: Cross multiply
    246,810x = 524,761.50 × 524,761.50
  4. Step 4: Simplify right side
    246,810x = 275,374,631,882.25
  5. Step 5: Solve for x
    x = 275,374,631,882.25/246,810
  6. Step 6: Final answer
    x = 1,115,735.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.