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Finding the Third Proportional to 279,936 and 604,062

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Solution

The third proportional to 279,936 and 604,062 is: 1,303,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936 : 604,062 = 604,062 : x
  2. Step 2: Convert to fraction form
    279,936/604,062 = 604,062/x
  3. Step 3: Cross multiply
    279,936x = 604,062 × 604,062
  4. Step 4: Simplify right side
    279,936x = 364,890,899,844
  5. Step 5: Solve for x
    x = 364,890,899,844/279,936
  6. Step 6: Final answer
    x = 1,303,479.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.