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Finding the Third Proportional to 479,025 and 666,039

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Solution

The third proportional to 479,025 and 666,039 is: 926,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,025 : 666,039 = 666,039 : x
  2. Step 2: Convert to fraction form
    479,025/666,039 = 666,039/x
  3. Step 3: Cross multiply
    479,025x = 666,039 × 666,039
  4. Step 4: Simplify right side
    479,025x = 443,607,949,521
  5. Step 5: Solve for x
    x = 443,607,949,521/479,025
  6. Step 6: Final answer
    x = 926,064.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.