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Finding the Third Proportional to 342,444 and 737,592

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Solution

The third proportional to 342,444 and 737,592 is: 1,588,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,444 : 737,592 = 737,592 : x
  2. Step 2: Convert to fraction form
    342,444/737,592 = 737,592/x
  3. Step 3: Cross multiply
    342,444x = 737,592 × 737,592
  4. Step 4: Simplify right side
    342,444x = 544,041,958,464
  5. Step 5: Solve for x
    x = 544,041,958,464/342,444
  6. Step 6: Final answer
    x = 1,588,703.43

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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.