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Finding the Third Proportional to 443,669 and 665,287

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Solution

The third proportional to 443,669 and 665,287 is: 997,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,669 : 665,287 = 665,287 : x
  2. Step 2: Convert to fraction form
    443,669/665,287 = 665,287/x
  3. Step 3: Cross multiply
    443,669x = 665,287 × 665,287
  4. Step 4: Simplify right side
    443,669x = 442,606,792,369
  5. Step 5: Solve for x
    x = 442,606,792,369/443,669
  6. Step 6: Final answer
    x = 997,605.86

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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.