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Finding the Third Proportional to 241,077 and 460,275

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Solution

The third proportional to 241,077 and 460,275 is: 878,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,077 : 460,275 = 460,275 : x
  2. Step 2: Convert to fraction form
    241,077/460,275 = 460,275/x
  3. Step 3: Cross multiply
    241,077x = 460,275 × 460,275
  4. Step 4: Simplify right side
    241,077x = 211,853,075,625
  5. Step 5: Solve for x
    x = 211,853,075,625/241,077
  6. Step 6: Final answer
    x = 878,777.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.