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Finding the Third Proportional to 283,290 and 608,682

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Solution

The third proportional to 283,290 and 608,682 is: 1,307,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,290 : 608,682 = 608,682 : x
  2. Step 2: Convert to fraction form
    283,290/608,682 = 608,682/x
  3. Step 3: Cross multiply
    283,290x = 608,682 × 608,682
  4. Step 4: Simplify right side
    283,290x = 370,493,777,124
  5. Step 5: Solve for x
    x = 370,493,777,124/283,290
  6. Step 6: Final answer
    x = 1,307,825.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.