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Finding the Third Proportional to 627,706 and 805,958

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Solution

The third proportional to 627,706 and 805,958 is: 1,034,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,706 : 805,958 = 805,958 : x
  2. Step 2: Convert to fraction form
    627,706/805,958 = 805,958/x
  3. Step 3: Cross multiply
    627,706x = 805,958 × 805,958
  4. Step 4: Simplify right side
    627,706x = 649,568,297,764
  5. Step 5: Solve for x
    x = 649,568,297,764/627,706
  6. Step 6: Final answer
    x = 1,034,828.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.