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Finding the Third Proportional to 202,848 and 428,352

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Solution

The third proportional to 202,848 and 428,352 is: 904,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,848 : 428,352 = 428,352 : x
  2. Step 2: Convert to fraction form
    202,848/428,352 = 428,352/x
  3. Step 3: Cross multiply
    202,848x = 428,352 × 428,352
  4. Step 4: Simplify right side
    202,848x = 183,485,435,904
  5. Step 5: Solve for x
    x = 183,485,435,904/202,848
  6. Step 6: Final answer
    x = 904,546.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.