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Finding the Third Proportional to 379,882 and 563,967

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Solution

The third proportional to 379,882 and 563,967 is: 837,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,882 : 563,967 = 563,967 : x
  2. Step 2: Convert to fraction form
    379,882/563,967 = 563,967/x
  3. Step 3: Cross multiply
    379,882x = 563,967 × 563,967
  4. Step 4: Simplify right side
    379,882x = 318,058,777,089
  5. Step 5: Solve for x
    x = 318,058,777,089/379,882
  6. Step 6: Final answer
    x = 837,256.77

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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.