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Finding the Third Proportional to 312,198 and 736,737

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Solution

The third proportional to 312,198 and 736,737 is: 1,738,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198 : 736,737 = 736,737 : x
  2. Step 2: Convert to fraction form
    312,198/736,737 = 736,737/x
  3. Step 3: Cross multiply
    312,198x = 736,737 × 736,737
  4. Step 4: Simplify right side
    312,198x = 542,781,407,169
  5. Step 5: Solve for x
    x = 542,781,407,169/312,198
  6. Step 6: Final answer
    x = 1,738,580.67

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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.