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Finding the Third Proportional to 479,029 and 666,045

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Solution

The third proportional to 479,029 and 666,045 is: 926,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,029 : 666,045 = 666,045 : x
  2. Step 2: Convert to fraction form
    479,029/666,045 = 666,045/x
  3. Step 3: Cross multiply
    479,029x = 666,045 × 666,045
  4. Step 4: Simplify right side
    479,029x = 443,615,942,025
  5. Step 5: Solve for x
    x = 443,615,942,025/479,029
  6. Step 6: Final answer
    x = 926,073.25

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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.