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Finding the Third Proportional to 262,303.50 and 398,584.50

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Solution

The third proportional to 262,303.50 and 398,584.50 is: 605,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,303.50 : 398,584.50 = 398,584.50 : x
  2. Step 2: Convert to fraction form
    262,303.50/398,584.50 = 398,584.50/x
  3. Step 3: Cross multiply
    262,303.50x = 398,584.50 × 398,584.50
  4. Step 4: Simplify right side
    262,303.50x = 158,869,603,640.25
  5. Step 5: Solve for x
    x = 158,869,603,640.25/262,303.50
  6. Step 6: Final answer
    x = 605,670.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.