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Finding the Third Proportional to 307,696 and 465,644

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Solution

The third proportional to 307,696 and 465,644 is: 704,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,696 : 465,644 = 465,644 : x
  2. Step 2: Convert to fraction form
    307,696/465,644 = 465,644/x
  3. Step 3: Cross multiply
    307,696x = 465,644 × 465,644
  4. Step 4: Simplify right side
    307,696x = 216,824,334,736
  5. Step 5: Solve for x
    x = 216,824,334,736/307,696
  6. Step 6: Final answer
    x = 704,670.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.