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Finding the Third Proportional to 295,947 and 641,692

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Solution

The third proportional to 295,947 and 641,692 is: 1,391,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,947 : 641,692 = 641,692 : x
  2. Step 2: Convert to fraction form
    295,947/641,692 = 641,692/x
  3. Step 3: Cross multiply
    295,947x = 641,692 × 641,692
  4. Step 4: Simplify right side
    295,947x = 411,768,622,864
  5. Step 5: Solve for x
    x = 411,768,622,864/295,947
  6. Step 6: Final answer
    x = 1,391,359.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.