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Finding the Third Proportional to 342,064 and 791,791

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Solution

The third proportional to 342,064 and 791,791 is: 1,832,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,064 : 791,791 = 791,791 : x
  2. Step 2: Convert to fraction form
    342,064/791,791 = 791,791/x
  3. Step 3: Cross multiply
    342,064x = 791,791 × 791,791
  4. Step 4: Simplify right side
    342,064x = 626,932,987,681
  5. Step 5: Solve for x
    x = 626,932,987,681/342,064
  6. Step 6: Final answer
    x = 1,832,794.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.