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Finding the Third Proportional to 443,667 and 665,284

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Solution

The third proportional to 443,667 and 665,284 is: 997,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,667 : 665,284 = 665,284 : x
  2. Step 2: Convert to fraction form
    443,667/665,284 = 665,284/x
  3. Step 3: Cross multiply
    443,667x = 665,284 × 665,284
  4. Step 4: Simplify right side
    443,667x = 442,602,800,656
  5. Step 5: Solve for x
    x = 442,602,800,656/443,667
  6. Step 6: Final answer
    x = 997,601.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.