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Finding the Third Proportional to 442,306.69 and 967,420.69

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Solution

The third proportional to 442,306.69 and 967,420.69 is: 2,115,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,306.69 : 967,420.69 = 967,420.69 : x
  2. Step 2: Convert to fraction form
    442,306.69/967,420.69 = 967,420.69/x
  3. Step 3: Cross multiply
    442,306.69x = 967,420.69 × 967,420.69
  4. Step 4: Simplify right side
    442,306.69x = 935,902,786,602.97
  5. Step 5: Solve for x
    x = 935,902,786,602.97/442,306.69
  6. Step 6: Final answer
    x = 2,115,958.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.