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Finding the Third Proportional to 538,847.44 and 898,040.67

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Solution

The third proportional to 538,847.44 and 898,040.67 is: 1,496,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,847.44 : 898,040.67 = 898,040.67 : x
  2. Step 2: Convert to fraction form
    538,847.44/898,040.67 = 898,040.67/x
  3. Step 3: Cross multiply
    538,847.44x = 898,040.67 × 898,040.67
  4. Step 4: Simplify right side
    538,847.44x = 806,477,048,341.70
  5. Step 5: Solve for x
    x = 806,477,048,341.70/538,847.44
  6. Step 6: Final answer
    x = 1,496,670.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.