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Finding the Third Proportional to 344,965.50 and 483,399.56

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Solution

The third proportional to 344,965.50 and 483,399.56 is: 677,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,965.50 : 483,399.56 = 483,399.56 : x
  2. Step 2: Convert to fraction form
    344,965.50/483,399.56 = 483,399.56/x
  3. Step 3: Cross multiply
    344,965.50x = 483,399.56 × 483,399.56
  4. Step 4: Simplify right side
    344,965.50x = 233,675,137,025.19
  5. Step 5: Solve for x
    x = 233,675,137,025.19/344,965.50
  6. Step 6: Final answer
    x = 677,386.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.