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Finding the Third Proportional to 317,544 and 684,946

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Solution

The third proportional to 317,544 and 684,946 is: 1,477,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,544 : 684,946 = 684,946 : x
  2. Step 2: Convert to fraction form
    317,544/684,946 = 684,946/x
  3. Step 3: Cross multiply
    317,544x = 684,946 × 684,946
  4. Step 4: Simplify right side
    317,544x = 469,151,022,916
  5. Step 5: Solve for x
    x = 469,151,022,916/317,544
  6. Step 6: Final answer
    x = 1,477,436.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.