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Finding the Third Proportional to 337,110 and 742,017

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Solution

The third proportional to 337,110 and 742,017 is: 1,633,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,110 : 742,017 = 742,017 : x
  2. Step 2: Convert to fraction form
    337,110/742,017 = 742,017/x
  3. Step 3: Cross multiply
    337,110x = 742,017 × 742,017
  4. Step 4: Simplify right side
    337,110x = 550,589,228,289
  5. Step 5: Solve for x
    x = 550,589,228,289/337,110
  6. Step 6: Final answer
    x = 1,633,262.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.