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Finding the Third Proportional to 341,680 and 520,944

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Solution

The third proportional to 341,680 and 520,944 is: 794,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,680 : 520,944 = 520,944 : x
  2. Step 2: Convert to fraction form
    341,680/520,944 = 520,944/x
  3. Step 3: Cross multiply
    341,680x = 520,944 × 520,944
  4. Step 4: Simplify right side
    341,680x = 271,382,651,136
  5. Step 5: Solve for x
    x = 271,382,651,136/341,680
  6. Step 6: Final answer
    x = 794,259.69

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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.