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Finding the Third Proportional to 427,633 and 677,096

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Solution

The third proportional to 427,633 and 677,096 is: 1,072,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,633 : 677,096 = 677,096 : x
  2. Step 2: Convert to fraction form
    427,633/677,096 = 677,096/x
  3. Step 3: Cross multiply
    427,633x = 677,096 × 677,096
  4. Step 4: Simplify right side
    427,633x = 458,458,993,216
  5. Step 5: Solve for x
    x = 458,458,993,216/427,633
  6. Step 6: Final answer
    x = 1,072,085.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.