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Finding the Third Proportional to 303,994 and 467,943

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Solution

The third proportional to 303,994 and 467,943 is: 720,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,994 : 467,943 = 467,943 : x
  2. Step 2: Convert to fraction form
    303,994/467,943 = 467,943/x
  3. Step 3: Cross multiply
    303,994x = 467,943 × 467,943
  4. Step 4: Simplify right side
    303,994x = 218,970,651,249
  5. Step 5: Solve for x
    x = 218,970,651,249/303,994
  6. Step 6: Final answer
    x = 720,312.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.