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Finding the Third Proportional to 283,956 and 602,976

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Solution

The third proportional to 283,956 and 602,976 is: 1,280,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,956 : 602,976 = 602,976 : x
  2. Step 2: Convert to fraction form
    283,956/602,976 = 602,976/x
  3. Step 3: Cross multiply
    283,956x = 602,976 × 602,976
  4. Step 4: Simplify right side
    283,956x = 363,580,056,576
  5. Step 5: Solve for x
    x = 363,580,056,576/283,956
  6. Step 6: Final answer
    x = 1,280,409.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.