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Finding the Third Proportional to 317,538 and 684,934

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Solution

The third proportional to 317,538 and 684,934 is: 1,477,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,538 : 684,934 = 684,934 : x
  2. Step 2: Convert to fraction form
    317,538/684,934 = 684,934/x
  3. Step 3: Cross multiply
    317,538x = 684,934 × 684,934
  4. Step 4: Simplify right side
    317,538x = 469,134,584,356
  5. Step 5: Solve for x
    x = 469,134,584,356/317,538
  6. Step 6: Final answer
    x = 1,477,412.42

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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.