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Finding the Third Proportional to 305,343 and 448,891.88

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Solution

The third proportional to 305,343 and 448,891.88 is: 659,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343 : 448,891.88 = 448,891.88 : x
  2. Step 2: Convert to fraction form
    305,343/448,891.88 = 448,891.88/x
  3. Step 3: Cross multiply
    305,343x = 448,891.88 × 448,891.88
  4. Step 4: Simplify right side
    305,343x = 201,503,915,441.02
  5. Step 5: Solve for x
    x = 201,503,915,441.02/305,343
  6. Step 6: Final answer
    x = 659,926.43

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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.