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Finding the Third Proportional to 317,956 and 684,664

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Solution

The third proportional to 317,956 and 684,664 is: 1,474,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,956 : 684,664 = 684,664 : x
  2. Step 2: Convert to fraction form
    317,956/684,664 = 684,664/x
  3. Step 3: Cross multiply
    317,956x = 684,664 × 684,664
  4. Step 4: Simplify right side
    317,956x = 468,764,792,896
  5. Step 5: Solve for x
    x = 468,764,792,896/317,956
  6. Step 6: Final answer
    x = 1,474,307.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.