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Finding the Third Proportional to 341,504 and 501,177

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Solution

The third proportional to 341,504 and 501,177 is: 735,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,504 : 501,177 = 501,177 : x
  2. Step 2: Convert to fraction form
    341,504/501,177 = 501,177/x
  3. Step 3: Cross multiply
    341,504x = 501,177 × 501,177
  4. Step 4: Simplify right side
    341,504x = 251,178,385,329
  5. Step 5: Solve for x
    x = 251,178,385,329/341,504
  6. Step 6: Final answer
    x = 735,506.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.