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Finding the Third Proportional to 304,288 and 445,164

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Solution

The third proportional to 304,288 and 445,164 is: 651,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,288 : 445,164 = 445,164 : x
  2. Step 2: Convert to fraction form
    304,288/445,164 = 445,164/x
  3. Step 3: Cross multiply
    304,288x = 445,164 × 445,164
  4. Step 4: Simplify right side
    304,288x = 198,170,986,896
  5. Step 5: Solve for x
    x = 198,170,986,896/304,288
  6. Step 6: Final answer
    x = 651,261.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.