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Finding the Third Proportional to 548,427.38 and 847,533.38

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Solution

The third proportional to 548,427.38 and 847,533.38 is: 1,309,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,427.38 : 847,533.38 = 847,533.38 : x
  2. Step 2: Convert to fraction form
    548,427.38/847,533.38 = 847,533.38/x
  3. Step 3: Cross multiply
    548,427.38x = 847,533.38 × 847,533.38
  4. Step 4: Simplify right side
    548,427.38x = 718,312,821,738.89
  5. Step 5: Solve for x
    x = 718,312,821,738.89/548,427.38
  6. Step 6: Final answer
    x = 1,309,768.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.