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Finding the Third Proportional to 303,436 and 662,168

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Solution

The third proportional to 303,436 and 662,168 is: 1,445,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,436 : 662,168 = 662,168 : x
  2. Step 2: Convert to fraction form
    303,436/662,168 = 662,168/x
  3. Step 3: Cross multiply
    303,436x = 662,168 × 662,168
  4. Step 4: Simplify right side
    303,436x = 438,466,460,224
  5. Step 5: Solve for x
    x = 438,466,460,224/303,436
  6. Step 6: Final answer
    x = 1,445,004.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.