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Finding the Third Proportional to 303,039 and 448,699.50

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Solution

The third proportional to 303,039 and 448,699.50 is: 664,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,039 : 448,699.50 = 448,699.50 : x
  2. Step 2: Convert to fraction form
    303,039/448,699.50 = 448,699.50/x
  3. Step 3: Cross multiply
    303,039x = 448,699.50 × 448,699.50
  4. Step 4: Simplify right side
    303,039x = 201,331,241,300.25
  5. Step 5: Solve for x
    x = 201,331,241,300.25/303,039
  6. Step 6: Final answer
    x = 664,374.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.