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Finding the Third Proportional to 283,028 and 384,582

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Solution

The third proportional to 283,028 and 384,582 is: 522,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,028 : 384,582 = 384,582 : x
  2. Step 2: Convert to fraction form
    283,028/384,582 = 384,582/x
  3. Step 3: Cross multiply
    283,028x = 384,582 × 384,582
  4. Step 4: Simplify right side
    283,028x = 147,903,314,724
  5. Step 5: Solve for x
    x = 147,903,314,724/283,028
  6. Step 6: Final answer
    x = 522,574.85

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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.