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Finding the Third Proportional to 343,471 and 744,144

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Solution

The third proportional to 343,471 and 744,144 is: 1,612,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,471 : 744,144 = 744,144 : x
  2. Step 2: Convert to fraction form
    343,471/744,144 = 744,144/x
  3. Step 3: Cross multiply
    343,471x = 744,144 × 744,144
  4. Step 4: Simplify right side
    343,471x = 553,750,292,736
  5. Step 5: Solve for x
    x = 553,750,292,736/343,471
  6. Step 6: Final answer
    x = 1,612,218.48

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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.