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Finding the Third Proportional to 379,884 and 563,970

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Solution

The third proportional to 379,884 and 563,970 is: 837,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,884 : 563,970 = 563,970 : x
  2. Step 2: Convert to fraction form
    379,884/563,970 = 563,970/x
  3. Step 3: Cross multiply
    379,884x = 563,970 × 563,970
  4. Step 4: Simplify right side
    379,884x = 318,062,160,900
  5. Step 5: Solve for x
    x = 318,062,160,900/379,884
  6. Step 6: Final answer
    x = 837,261.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.