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Finding the Third Proportional to 337,262 and 745,936

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Solution

The third proportional to 337,262 and 745,936 is: 1,649,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,262 : 745,936 = 745,936 : x
  2. Step 2: Convert to fraction form
    337,262/745,936 = 745,936/x
  3. Step 3: Cross multiply
    337,262x = 745,936 × 745,936
  4. Step 4: Simplify right side
    337,262x = 556,420,516,096
  5. Step 5: Solve for x
    x = 556,420,516,096/337,262
  6. Step 6: Final answer
    x = 1,649,816.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.