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Finding the Third Proportional to 479,020 and 666,032

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Solution

The third proportional to 479,020 and 666,032 is: 926,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,020 : 666,032 = 666,032 : x
  2. Step 2: Convert to fraction form
    479,020/666,032 = 666,032/x
  3. Step 3: Cross multiply
    479,020x = 666,032 × 666,032
  4. Step 4: Simplify right side
    479,020x = 443,598,625,024
  5. Step 5: Solve for x
    x = 443,598,625,024/479,020
  6. Step 6: Final answer
    x = 926,054.50

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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.