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Finding the Third Proportional to 443,678 and 665,300

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Solution

The third proportional to 443,678 and 665,300 is: 997,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,678 : 665,300 = 665,300 : x
  2. Step 2: Convert to fraction form
    443,678/665,300 = 665,300/x
  3. Step 3: Cross multiply
    443,678x = 665,300 × 665,300
  4. Step 4: Simplify right side
    443,678x = 442,624,090,000
  5. Step 5: Solve for x
    x = 442,624,090,000/443,678
  6. Step 6: Final answer
    x = 997,624.61

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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.