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Finding the Third Proportional to 444,706 and 665,841

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Solution

The third proportional to 444,706 and 665,841 is: 996,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,706 : 665,841 = 665,841 : x
  2. Step 2: Convert to fraction form
    444,706/665,841 = 665,841/x
  3. Step 3: Cross multiply
    444,706x = 665,841 × 665,841
  4. Step 4: Simplify right side
    444,706x = 443,344,237,281
  5. Step 5: Solve for x
    x = 443,344,237,281/444,706
  6. Step 6: Final answer
    x = 996,937.84

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Why These Related Problems?

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