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Finding the Third Proportional to 435,494 and 684,351

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Solution

The third proportional to 435,494 and 684,351 is: 1,075,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,494 : 684,351 = 684,351 : x
  2. Step 2: Convert to fraction form
    435,494/684,351 = 684,351/x
  3. Step 3: Cross multiply
    435,494x = 684,351 × 684,351
  4. Step 4: Simplify right side
    435,494x = 468,336,291,201
  5. Step 5: Solve for x
    x = 468,336,291,201/435,494
  6. Step 6: Final answer
    x = 1,075,413.88

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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.