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Finding the Third Proportional to 375,171 and 821,493.75

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Solution

The third proportional to 375,171 and 821,493.75 is: 1,798,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,171 : 821,493.75 = 821,493.75 : x
  2. Step 2: Convert to fraction form
    375,171/821,493.75 = 821,493.75/x
  3. Step 3: Cross multiply
    375,171x = 821,493.75 × 821,493.75
  4. Step 4: Simplify right side
    375,171x = 674,851,981,289.06
  5. Step 5: Solve for x
    x = 674,851,981,289.06/375,171
  6. Step 6: Final answer
    x = 1,798,785.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.