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Finding the Third Proportional to 305,268.75 and 448,756.45

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Solution

The third proportional to 305,268.75 and 448,756.45 is: 659,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,268.75 : 448,756.45 = 448,756.45 : x
  2. Step 2: Convert to fraction form
    305,268.75/448,756.45 = 448,756.45/x
  3. Step 3: Cross multiply
    305,268.75x = 448,756.45 × 448,756.45
  4. Step 4: Simplify right side
    305,268.75x = 201,382,354,221.33
  5. Step 5: Solve for x
    x = 201,382,354,221.33/305,268.75
  6. Step 6: Final answer
    x = 659,688.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.