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Finding the Third Proportional to 435,512 and 684,378

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Solution

The third proportional to 435,512 and 684,378 is: 1,075,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,512 : 684,378 = 684,378 : x
  2. Step 2: Convert to fraction form
    435,512/684,378 = 684,378/x
  3. Step 3: Cross multiply
    435,512x = 684,378 × 684,378
  4. Step 4: Simplify right side
    435,512x = 468,373,246,884
  5. Step 5: Solve for x
    x = 468,373,246,884/435,512
  6. Step 6: Final answer
    x = 1,075,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.