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Finding the Third Proportional to 350,125.50 and 548,668.50

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Solution

The third proportional to 350,125.50 and 548,668.50 is: 859,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,125.50 : 548,668.50 = 548,668.50 : x
  2. Step 2: Convert to fraction form
    350,125.50/548,668.50 = 548,668.50/x
  3. Step 3: Cross multiply
    350,125.50x = 548,668.50 × 548,668.50
  4. Step 4: Simplify right side
    350,125.50x = 301,037,122,892.25
  5. Step 5: Solve for x
    x = 301,037,122,892.25/350,125.50
  6. Step 6: Final answer
    x = 859,797.77

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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.