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Finding the Third Proportional to 341,686 and 520,953

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Solution

The third proportional to 341,686 and 520,953 is: 794,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,686 : 520,953 = 520,953 : x
  2. Step 2: Convert to fraction form
    341,686/520,953 = 520,953/x
  3. Step 3: Cross multiply
    341,686x = 520,953 × 520,953
  4. Step 4: Simplify right side
    341,686x = 271,392,028,209
  5. Step 5: Solve for x
    x = 271,392,028,209/341,686
  6. Step 6: Final answer
    x = 794,273.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.