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Finding the Third Proportional to 379,874 and 563,955

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Solution

The third proportional to 379,874 and 563,955 is: 837,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,874 : 563,955 = 563,955 : x
  2. Step 2: Convert to fraction form
    379,874/563,955 = 563,955/x
  3. Step 3: Cross multiply
    379,874x = 563,955 × 563,955
  4. Step 4: Simplify right side
    379,874x = 318,045,242,025
  5. Step 5: Solve for x
    x = 318,045,242,025/379,874
  6. Step 6: Final answer
    x = 837,238.77

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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.