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Finding the Third Proportional to 351,294 and 770,868

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Solution

The third proportional to 351,294 and 770,868 is: 1,691,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,294 : 770,868 = 770,868 : x
  2. Step 2: Convert to fraction form
    351,294/770,868 = 770,868/x
  3. Step 3: Cross multiply
    351,294x = 770,868 × 770,868
  4. Step 4: Simplify right side
    351,294x = 594,237,473,424
  5. Step 5: Solve for x
    x = 594,237,473,424/351,294
  6. Step 6: Final answer
    x = 1,691,567.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.