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Finding the Third Proportional to 270,409.50 and 424,173.75

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Solution

The third proportional to 270,409.50 and 424,173.75 is: 665,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,409.50 : 424,173.75 = 424,173.75 : x
  2. Step 2: Convert to fraction form
    270,409.50/424,173.75 = 424,173.75/x
  3. Step 3: Cross multiply
    270,409.50x = 424,173.75 × 424,173.75
  4. Step 4: Simplify right side
    270,409.50x = 179,923,370,189.06
  5. Step 5: Solve for x
    x = 179,923,370,189.06/270,409.50
  6. Step 6: Final answer
    x = 665,373.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.