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Finding the Third Proportional to 441,765 and 666,330

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Solution

The third proportional to 441,765 and 666,330 is: 1,005,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,765 : 666,330 = 666,330 : x
  2. Step 2: Convert to fraction form
    441,765/666,330 = 666,330/x
  3. Step 3: Cross multiply
    441,765x = 666,330 × 666,330
  4. Step 4: Simplify right side
    441,765x = 443,995,668,900
  5. Step 5: Solve for x
    x = 443,995,668,900/441,765
  6. Step 6: Final answer
    x = 1,005,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.