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Finding the Third Proportional to 246,043 and 538,039

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Solution

The third proportional to 246,043 and 538,039 is: 1,176,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,043 : 538,039 = 538,039 : x
  2. Step 2: Convert to fraction form
    246,043/538,039 = 538,039/x
  3. Step 3: Cross multiply
    246,043x = 538,039 × 538,039
  4. Step 4: Simplify right side
    246,043x = 289,485,965,521
  5. Step 5: Solve for x
    x = 289,485,965,521/246,043
  6. Step 6: Final answer
    x = 1,176,566.56

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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.