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Finding the Third Proportional to 307,926 and 460,647

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Solution

The third proportional to 307,926 and 460,647 is: 689,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,926 : 460,647 = 460,647 : x
  2. Step 2: Convert to fraction form
    307,926/460,647 = 460,647/x
  3. Step 3: Cross multiply
    307,926x = 460,647 × 460,647
  4. Step 4: Simplify right side
    307,926x = 212,195,658,609
  5. Step 5: Solve for x
    x = 212,195,658,609/307,926
  6. Step 6: Final answer
    x = 689,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.