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Finding the Third Proportional to 305,538.75 and 448,943.25

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Solution

The third proportional to 305,538.75 and 448,943.25 is: 659,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,538.75 : 448,943.25 = 448,943.25 : x
  2. Step 2: Convert to fraction form
    305,538.75/448,943.25 = 448,943.25/x
  3. Step 3: Cross multiply
    305,538.75x = 448,943.25 × 448,943.25
  4. Step 4: Simplify right side
    305,538.75x = 201,550,041,720.56
  5. Step 5: Solve for x
    x = 201,550,041,720.56/305,538.75
  6. Step 6: Final answer
    x = 659,654.60

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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.