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Finding the Third Proportional to 246,868 and 538,336

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Solution

The third proportional to 246,868 and 538,336 is: 1,173,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,868 : 538,336 = 538,336 : x
  2. Step 2: Convert to fraction form
    246,868/538,336 = 538,336/x
  3. Step 3: Cross multiply
    246,868x = 538,336 × 538,336
  4. Step 4: Simplify right side
    246,868x = 289,805,648,896
  5. Step 5: Solve for x
    x = 289,805,648,896/246,868
  6. Step 6: Final answer
    x = 1,173,929.59

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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.