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Finding the Third Proportional to 479,020 and 666,033

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Solution

The third proportional to 479,020 and 666,033 is: 926,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,020 : 666,033 = 666,033 : x
  2. Step 2: Convert to fraction form
    479,020/666,033 = 666,033/x
  3. Step 3: Cross multiply
    479,020x = 666,033 × 666,033
  4. Step 4: Simplify right side
    479,020x = 443,599,957,089
  5. Step 5: Solve for x
    x = 443,599,957,089/479,020
  6. Step 6: Final answer
    x = 926,057.28

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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.