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Finding the Third Proportional to 323,480 and 701,942

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Solution

The third proportional to 323,480 and 701,942 is: 1,523,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,480 : 701,942 = 701,942 : x
  2. Step 2: Convert to fraction form
    323,480/701,942 = 701,942/x
  3. Step 3: Cross multiply
    323,480x = 701,942 × 701,942
  4. Step 4: Simplify right side
    323,480x = 492,722,571,364
  5. Step 5: Solve for x
    x = 492,722,571,364/323,480
  6. Step 6: Final answer
    x = 1,523,193.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.