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Finding the Third Proportional to 307,241.50 and 670,764

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Solution

The third proportional to 307,241.50 and 670,764 is: 1,464,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,241.50 : 670,764 = 670,764 : x
  2. Step 2: Convert to fraction form
    307,241.50/670,764 = 670,764/x
  3. Step 3: Cross multiply
    307,241.50x = 670,764 × 670,764
  4. Step 4: Simplify right side
    307,241.50x = 449,924,343,696
  5. Step 5: Solve for x
    x = 449,924,343,696/307,241.50
  6. Step 6: Final answer
    x = 1,464,399.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.