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Finding the Third Proportional to 295,749 and 641,322

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Solution

The third proportional to 295,749 and 641,322 is: 1,390,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,749 : 641,322 = 641,322 : x
  2. Step 2: Convert to fraction form
    295,749/641,322 = 641,322/x
  3. Step 3: Cross multiply
    295,749x = 641,322 × 641,322
  4. Step 4: Simplify right side
    295,749x = 411,293,907,684
  5. Step 5: Solve for x
    x = 411,293,907,684/295,749
  6. Step 6: Final answer
    x = 1,390,685.71

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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.