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Finding the Third Proportional to 307,597.50 and 675,684

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Solution

The third proportional to 307,597.50 and 675,684 is: 1,484,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,597.50 : 675,684 = 675,684 : x
  2. Step 2: Convert to fraction form
    307,597.50/675,684 = 675,684/x
  3. Step 3: Cross multiply
    307,597.50x = 675,684 × 675,684
  4. Step 4: Simplify right side
    307,597.50x = 456,548,867,856
  5. Step 5: Solve for x
    x = 456,548,867,856/307,597.50
  6. Step 6: Final answer
    x = 1,484,241.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.