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Finding the Third Proportional to 379,872 and 563,952

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Solution

The third proportional to 379,872 and 563,952 is: 837,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,872 : 563,952 = 563,952 : x
  2. Step 2: Convert to fraction form
    379,872/563,952 = 563,952/x
  3. Step 3: Cross multiply
    379,872x = 563,952 × 563,952
  4. Step 4: Simplify right side
    379,872x = 318,041,858,304
  5. Step 5: Solve for x
    x = 318,041,858,304/379,872
  6. Step 6: Final answer
    x = 837,234.27

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