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Finding the Third Proportional to 283,856 and 619,958

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Solution

The third proportional to 283,856 and 619,958 is: 1,354,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,856 : 619,958 = 619,958 : x
  2. Step 2: Convert to fraction form
    283,856/619,958 = 619,958/x
  3. Step 3: Cross multiply
    283,856x = 619,958 × 619,958
  4. Step 4: Simplify right side
    283,856x = 384,347,921,764
  5. Step 5: Solve for x
    x = 384,347,921,764/283,856
  6. Step 6: Final answer
    x = 1,354,024.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.