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Finding the Third Proportional to 320,835.94 and 448,557.75

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Solution

The third proportional to 320,835.94 and 448,557.75 is: 627,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,835.94 : 448,557.75 = 448,557.75 : x
  2. Step 2: Convert to fraction form
    320,835.94/448,557.75 = 448,557.75/x
  3. Step 3: Cross multiply
    320,835.94x = 448,557.75 × 448,557.75
  4. Step 4: Simplify right side
    320,835.94x = 201,204,055,085.06
  5. Step 5: Solve for x
    x = 201,204,055,085.06/320,835.94
  6. Step 6: Final answer
    x = 627,124.43

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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.