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Finding the Third Proportional to 373,827.75 and 820,032

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Solution

The third proportional to 373,827.75 and 820,032 is: 1,798,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,827.75 : 820,032 = 820,032 : x
  2. Step 2: Convert to fraction form
    373,827.75/820,032 = 820,032/x
  3. Step 3: Cross multiply
    373,827.75x = 820,032 × 820,032
  4. Step 4: Simplify right side
    373,827.75x = 672,452,481,024
  5. Step 5: Solve for x
    x = 672,452,481,024/373,827.75
  6. Step 6: Final answer
    x = 1,798,829.76

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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.