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Finding the Third Proportional to 312,203 and 736,749

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Solution

The third proportional to 312,203 and 736,749 is: 1,738,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,203 : 736,749 = 736,749 : x
  2. Step 2: Convert to fraction form
    312,203/736,749 = 736,749/x
  3. Step 3: Cross multiply
    312,203x = 736,749 × 736,749
  4. Step 4: Simplify right side
    312,203x = 542,799,089,001
  5. Step 5: Solve for x
    x = 542,799,089,001/312,203
  6. Step 6: Final answer
    x = 1,738,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.