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Finding the Third Proportional to 388,251 and 837,774

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Solution

The third proportional to 388,251 and 837,774 is: 1,807,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,251 : 837,774 = 837,774 : x
  2. Step 2: Convert to fraction form
    388,251/837,774 = 837,774/x
  3. Step 3: Cross multiply
    388,251x = 837,774 × 837,774
  4. Step 4: Simplify right side
    388,251x = 701,865,275,076
  5. Step 5: Solve for x
    x = 701,865,275,076/388,251
  6. Step 6: Final answer
    x = 1,807,761.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.