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Finding the Third Proportional to 375,296 and 799,392

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Solution

The third proportional to 375,296 and 799,392 is: 1,702,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,296 : 799,392 = 799,392 : x
  2. Step 2: Convert to fraction form
    375,296/799,392 = 799,392/x
  3. Step 3: Cross multiply
    375,296x = 799,392 × 799,392
  4. Step 4: Simplify right side
    375,296x = 639,027,569,664
  5. Step 5: Solve for x
    x = 639,027,569,664/375,296
  6. Step 6: Final answer
    x = 1,702,729.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.