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Finding the Third Proportional to 283,419 and 438,819.75

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Solution

The third proportional to 283,419 and 438,819.75 is: 679,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,419 : 438,819.75 = 438,819.75 : x
  2. Step 2: Convert to fraction form
    283,419/438,819.75 = 438,819.75/x
  3. Step 3: Cross multiply
    283,419x = 438,819.75 × 438,819.75
  4. Step 4: Simplify right side
    283,419x = 192,562,772,990.06
  5. Step 5: Solve for x
    x = 192,562,772,990.06/283,419
  6. Step 6: Final answer
    x = 679,427.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.