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Finding the Third Proportional to 341,640 and 520,722

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Solution

The third proportional to 341,640 and 520,722 is: 793,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,640 : 520,722 = 520,722 : x
  2. Step 2: Convert to fraction form
    341,640/520,722 = 520,722/x
  3. Step 3: Cross multiply
    341,640x = 520,722 × 520,722
  4. Step 4: Simplify right side
    341,640x = 271,151,401,284
  5. Step 5: Solve for x
    x = 271,151,401,284/341,640
  6. Step 6: Final answer
    x = 793,675.80

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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.