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Finding the Third Proportional to 367,564 and 791,444

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Solution

The third proportional to 367,564 and 791,444 is: 1,704,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,564 : 791,444 = 791,444 : x
  2. Step 2: Convert to fraction form
    367,564/791,444 = 791,444/x
  3. Step 3: Cross multiply
    367,564x = 791,444 × 791,444
  4. Step 4: Simplify right side
    367,564x = 626,383,605,136
  5. Step 5: Solve for x
    x = 626,383,605,136/367,564
  6. Step 6: Final answer
    x = 1,704,148.41

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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.