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Finding the Third Proportional to 246,072 and 536,610

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Solution

The third proportional to 246,072 and 536,610 is: 1,170,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,072 : 536,610 = 536,610 : x
  2. Step 2: Convert to fraction form
    246,072/536,610 = 536,610/x
  3. Step 3: Cross multiply
    246,072x = 536,610 × 536,610
  4. Step 4: Simplify right side
    246,072x = 287,950,292,100
  5. Step 5: Solve for x
    x = 287,950,292,100/246,072
  6. Step 6: Final answer
    x = 1,170,187.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.