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Finding the Third Proportional to 307,806 and 462,601

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Solution

The third proportional to 307,806 and 462,601 is: 695,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,806 : 462,601 = 462,601 : x
  2. Step 2: Convert to fraction form
    307,806/462,601 = 462,601/x
  3. Step 3: Cross multiply
    307,806x = 462,601 × 462,601
  4. Step 4: Simplify right side
    307,806x = 213,999,685,201
  5. Step 5: Solve for x
    x = 213,999,685,201/307,806
  6. Step 6: Final answer
    x = 695,242.08

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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.