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Finding the Third Proportional to 255,928.50 and 598,086

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Solution

The third proportional to 255,928.50 and 598,086 is: 1,397,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,928.50 : 598,086 = 598,086 : x
  2. Step 2: Convert to fraction form
    255,928.50/598,086 = 598,086/x
  3. Step 3: Cross multiply
    255,928.50x = 598,086 × 598,086
  4. Step 4: Simplify right side
    255,928.50x = 357,706,863,396
  5. Step 5: Solve for x
    x = 357,706,863,396/255,928.50
  6. Step 6: Final answer
    x = 1,397,682.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.