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Finding the Third Proportional to 341,691.75 and 540,369.56

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Solution

The third proportional to 341,691.75 and 540,369.56 is: 854,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,691.75 : 540,369.56 = 540,369.56 : x
  2. Step 2: Convert to fraction form
    341,691.75/540,369.56 = 540,369.56/x
  3. Step 3: Cross multiply
    341,691.75x = 540,369.56 × 540,369.56
  4. Step 4: Simplify right side
    341,691.75x = 291,999,264,076.44
  5. Step 5: Solve for x
    x = 291,999,264,076.44/341,691.75
  6. Step 6: Final answer
    x = 854,569.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.