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Finding the Third Proportional to 430,865 and 925,698

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Solution

The third proportional to 430,865 and 925,698 is: 1,988,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865 : 925,698 = 925,698 : x
  2. Step 2: Convert to fraction form
    430,865/925,698 = 925,698/x
  3. Step 3: Cross multiply
    430,865x = 925,698 × 925,698
  4. Step 4: Simplify right side
    430,865x = 856,916,787,204
  5. Step 5: Solve for x
    x = 856,916,787,204/430,865
  6. Step 6: Final answer
    x = 1,988,828.95

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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.