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Finding the Third Proportional to 379,880 and 563,964

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Solution

The third proportional to 379,880 and 563,964 is: 837,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,880 : 563,964 = 563,964 : x
  2. Step 2: Convert to fraction form
    379,880/563,964 = 563,964/x
  3. Step 3: Cross multiply
    379,880x = 563,964 × 563,964
  4. Step 4: Simplify right side
    379,880x = 318,055,393,296
  5. Step 5: Solve for x
    x = 318,055,393,296/379,880
  6. Step 6: Final answer
    x = 837,252.27

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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.