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Finding the Third Proportional to 410,149 and 548,765

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Solution

The third proportional to 410,149 and 548,765 is: 734,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,149 : 548,765 = 548,765 : x
  2. Step 2: Convert to fraction form
    410,149/548,765 = 548,765/x
  3. Step 3: Cross multiply
    410,149x = 548,765 × 548,765
  4. Step 4: Simplify right side
    410,149x = 301,143,025,225
  5. Step 5: Solve for x
    x = 301,143,025,225/410,149
  6. Step 6: Final answer
    x = 734,228.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.