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Finding the Third Proportional to 246,270 and 538,818

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Solution

The third proportional to 246,270 and 538,818 is: 1,178,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,270 : 538,818 = 538,818 : x
  2. Step 2: Convert to fraction form
    246,270/538,818 = 538,818/x
  3. Step 3: Cross multiply
    246,270x = 538,818 × 538,818
  4. Step 4: Simplify right side
    246,270x = 290,324,837,124
  5. Step 5: Solve for x
    x = 290,324,837,124/246,270
  6. Step 6: Final answer
    x = 1,178,888.36

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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.