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Finding the Third Proportional to 295,946 and 641,689

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Solution

The third proportional to 295,946 and 641,689 is: 1,391,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,946 : 641,689 = 641,689 : x
  2. Step 2: Convert to fraction form
    295,946/641,689 = 641,689/x
  3. Step 3: Cross multiply
    295,946x = 641,689 × 641,689
  4. Step 4: Simplify right side
    295,946x = 411,764,772,721
  5. Step 5: Solve for x
    x = 411,764,772,721/295,946
  6. Step 6: Final answer
    x = 1,391,351.03

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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.