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Finding the Third Proportional to 343,444 and 737,672

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Solution

The third proportional to 343,444 and 737,672 is: 1,584,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,444 : 737,672 = 737,672 : x
  2. Step 2: Convert to fraction form
    343,444/737,672 = 737,672/x
  3. Step 3: Cross multiply
    343,444x = 737,672 × 737,672
  4. Step 4: Simplify right side
    343,444x = 544,159,979,584
  5. Step 5: Solve for x
    x = 544,159,979,584/343,444
  6. Step 6: Final answer
    x = 1,584,421.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.