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Finding the Third Proportional to 270,922.50 and 416,575.50

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Solution

The third proportional to 270,922.50 and 416,575.50 is: 640,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922.50 : 416,575.50 = 416,575.50 : x
  2. Step 2: Convert to fraction form
    270,922.50/416,575.50 = 416,575.50/x
  3. Step 3: Cross multiply
    270,922.50x = 416,575.50 × 416,575.50
  4. Step 4: Simplify right side
    270,922.50x = 173,535,147,200.25
  5. Step 5: Solve for x
    x = 173,535,147,200.25/270,922.50
  6. Step 6: Final answer
    x = 640,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.