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Finding the Third Proportional to 492,114 and 759,975

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Solution

The third proportional to 492,114 and 759,975 is: 1,173,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,114 : 759,975 = 759,975 : x
  2. Step 2: Convert to fraction form
    492,114/759,975 = 759,975/x
  3. Step 3: Cross multiply
    492,114x = 759,975 × 759,975
  4. Step 4: Simplify right side
    492,114x = 577,562,000,625
  5. Step 5: Solve for x
    x = 577,562,000,625/492,114
  6. Step 6: Final answer
    x = 1,173,634.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.