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Finding the Third Proportional to 264,495 and 624,268

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Solution

The third proportional to 264,495 and 624,268 is: 1,473,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,495 : 624,268 = 624,268 : x
  2. Step 2: Convert to fraction form
    264,495/624,268 = 624,268/x
  3. Step 3: Cross multiply
    264,495x = 624,268 × 624,268
  4. Step 4: Simplify right side
    264,495x = 389,710,535,824
  5. Step 5: Solve for x
    x = 389,710,535,824/264,495
  6. Step 6: Final answer
    x = 1,473,413.62

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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.