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Finding the Third Proportional to 448,942.50 and 976,434.75

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Solution

The third proportional to 448,942.50 and 976,434.75 is: 2,123,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,942.50 : 976,434.75 = 976,434.75 : x
  2. Step 2: Convert to fraction form
    448,942.50/976,434.75 = 976,434.75/x
  3. Step 3: Cross multiply
    448,942.50x = 976,434.75 × 976,434.75
  4. Step 4: Simplify right side
    448,942.50x = 953,424,821,007.56
  5. Step 5: Solve for x
    x = 953,424,821,007.56/448,942.50
  6. Step 6: Final answer
    x = 2,123,712.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.