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Finding the Third Proportional to 283,050 and 412,908

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Solution

The third proportional to 283,050 and 412,908 is: 602,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,050 : 412,908 = 412,908 : x
  2. Step 2: Convert to fraction form
    283,050/412,908 = 412,908/x
  3. Step 3: Cross multiply
    283,050x = 412,908 × 412,908
  4. Step 4: Simplify right side
    283,050x = 170,493,016,464
  5. Step 5: Solve for x
    x = 170,493,016,464/283,050
  6. Step 6: Final answer
    x = 602,342.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.