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Finding the Third Proportional to 295,942 and 641,683

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Solution

The third proportional to 295,942 and 641,683 is: 1,391,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,942 : 641,683 = 641,683 : x
  2. Step 2: Convert to fraction form
    295,942/641,683 = 641,683/x
  3. Step 3: Cross multiply
    295,942x = 641,683 × 641,683
  4. Step 4: Simplify right side
    295,942x = 411,757,072,489
  5. Step 5: Solve for x
    x = 411,757,072,489/295,942
  6. Step 6: Final answer
    x = 1,391,343.82

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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.