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Finding the Third Proportional to 283,036 and 384,594

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Solution

The third proportional to 283,036 and 384,594 is: 522,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,036 : 384,594 = 384,594 : x
  2. Step 2: Convert to fraction form
    283,036/384,594 = 384,594/x
  3. Step 3: Cross multiply
    283,036x = 384,594 × 384,594
  4. Step 4: Simplify right side
    283,036x = 147,912,544,836
  5. Step 5: Solve for x
    x = 147,912,544,836/283,036
  6. Step 6: Final answer
    x = 522,592.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.