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Finding the Third Proportional to 318,687 and 684,741

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Solution

The third proportional to 318,687 and 684,741 is: 1,471,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,687 : 684,741 = 684,741 : x
  2. Step 2: Convert to fraction form
    318,687/684,741 = 684,741/x
  3. Step 3: Cross multiply
    318,687x = 684,741 × 684,741
  4. Step 4: Simplify right side
    318,687x = 468,870,237,081
  5. Step 5: Solve for x
    x = 468,870,237,081/318,687
  6. Step 6: Final answer
    x = 1,471,256.24

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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.