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Finding the Third Proportional to 307,950 and 661,736

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Solution

The third proportional to 307,950 and 661,736 is: 1,421,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,950 : 661,736 = 661,736 : x
  2. Step 2: Convert to fraction form
    307,950/661,736 = 661,736/x
  3. Step 3: Cross multiply
    307,950x = 661,736 × 661,736
  4. Step 4: Simplify right side
    307,950x = 437,894,533,696
  5. Step 5: Solve for x
    x = 437,894,533,696/307,950
  6. Step 6: Final answer
    x = 1,421,966.34

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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.