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Finding the Third Proportional to 246,035 and 538,024

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Solution

The third proportional to 246,035 and 538,024 is: 1,176,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,035 : 538,024 = 538,024 : x
  2. Step 2: Convert to fraction form
    246,035/538,024 = 538,024/x
  3. Step 3: Cross multiply
    246,035x = 538,024 × 538,024
  4. Step 4: Simplify right side
    246,035x = 289,469,824,576
  5. Step 5: Solve for x
    x = 289,469,824,576/246,035
  6. Step 6: Final answer
    x = 1,176,539.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.