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Finding the Third Proportional to 318,562 and 684,345

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Solution

The third proportional to 318,562 and 684,345 is: 1,470,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,562 : 684,345 = 684,345 : x
  2. Step 2: Convert to fraction form
    318,562/684,345 = 684,345/x
  3. Step 3: Cross multiply
    318,562x = 684,345 × 684,345
  4. Step 4: Simplify right side
    318,562x = 468,328,079,025
  5. Step 5: Solve for x
    x = 468,328,079,025/318,562
  6. Step 6: Final answer
    x = 1,470,131.65

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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.