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Finding the Third Proportional to 264,494.25 and 624,267

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Solution

The third proportional to 264,494.25 and 624,267 is: 1,473,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,494.25 : 624,267 = 624,267 : x
  2. Step 2: Convert to fraction form
    264,494.25/624,267 = 624,267/x
  3. Step 3: Cross multiply
    264,494.25x = 624,267 × 624,267
  4. Step 4: Simplify right side
    264,494.25x = 389,709,287,289
  5. Step 5: Solve for x
    x = 389,709,287,289/264,494.25
  6. Step 6: Final answer
    x = 1,473,413.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.