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Finding the Third Proportional to 341,682 and 520,947

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Solution

The third proportional to 341,682 and 520,947 is: 794,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,682 : 520,947 = 520,947 : x
  2. Step 2: Convert to fraction form
    341,682/520,947 = 520,947/x
  3. Step 3: Cross multiply
    341,682x = 520,947 × 520,947
  4. Step 4: Simplify right side
    341,682x = 271,385,776,809
  5. Step 5: Solve for x
    x = 271,385,776,809/341,682
  6. Step 6: Final answer
    x = 794,264.19

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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.