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Finding the Third Proportional to 301,098.50 and 654,684.50

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Solution

The third proportional to 301,098.50 and 654,684.50 is: 1,423,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.50 : 654,684.50 = 654,684.50 : x
  2. Step 2: Convert to fraction form
    301,098.50/654,684.50 = 654,684.50/x
  3. Step 3: Cross multiply
    301,098.50x = 654,684.50 × 654,684.50
  4. Step 4: Simplify right side
    301,098.50x = 428,611,794,540.25
  5. Step 5: Solve for x
    x = 428,611,794,540.25/301,098.50
  6. Step 6: Final answer
    x = 1,423,493.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.