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Finding the Third Proportional to 279,844 and 443,835

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Solution

The third proportional to 279,844 and 443,835 is: 703,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,844 : 443,835 = 443,835 : x
  2. Step 2: Convert to fraction form
    279,844/443,835 = 443,835/x
  3. Step 3: Cross multiply
    279,844x = 443,835 × 443,835
  4. Step 4: Simplify right side
    279,844x = 196,989,507,225
  5. Step 5: Solve for x
    x = 196,989,507,225/279,844
  6. Step 6: Final answer
    x = 703,926.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.