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Finding the Third Proportional to 416,167.88 and 624,307.50

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Solution

The third proportional to 416,167.88 and 624,307.50 is: 936,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,167.88 : 624,307.50 = 624,307.50 : x
  2. Step 2: Convert to fraction form
    416,167.88/624,307.50 = 624,307.50/x
  3. Step 3: Cross multiply
    416,167.88x = 624,307.50 × 624,307.50
  4. Step 4: Simplify right side
    416,167.88x = 389,759,854,556.25
  5. Step 5: Solve for x
    x = 389,759,854,556.25/416,167.88
  6. Step 6: Final answer
    x = 936,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.