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Finding the Third Proportional to 307,695 and 664,597.50

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Solution

The third proportional to 307,695 and 664,597.50 is: 1,435,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,695 : 664,597.50 = 664,597.50 : x
  2. Step 2: Convert to fraction form
    307,695/664,597.50 = 664,597.50/x
  3. Step 3: Cross multiply
    307,695x = 664,597.50 × 664,597.50
  4. Step 4: Simplify right side
    307,695x = 441,689,837,006.25
  5. Step 5: Solve for x
    x = 441,689,837,006.25/307,695
  6. Step 6: Final answer
    x = 1,435,479.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.