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Finding the Third Proportional to 246,045 and 538,381

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Solution

The third proportional to 246,045 and 538,381 is: 1,178,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,045 : 538,381 = 538,381 : x
  2. Step 2: Convert to fraction form
    246,045/538,381 = 538,381/x
  3. Step 3: Cross multiply
    246,045x = 538,381 × 538,381
  4. Step 4: Simplify right side
    246,045x = 289,854,101,161
  5. Step 5: Solve for x
    x = 289,854,101,161/246,045
  6. Step 6: Final answer
    x = 1,178,053.21

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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.