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Finding the Third Proportional to 264,640 and 624,208

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Solution

The third proportional to 264,640 and 624,208 is: 1,472,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,640 : 624,208 = 624,208 : x
  2. Step 2: Convert to fraction form
    264,640/624,208 = 624,208/x
  3. Step 3: Cross multiply
    264,640x = 624,208 × 624,208
  4. Step 4: Simplify right side
    264,640x = 389,635,627,264
  5. Step 5: Solve for x
    x = 389,635,627,264/264,640
  6. Step 6: Final answer
    x = 1,472,323.26

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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.