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Finding the Third Proportional to 379,860 and 563,934

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Solution

The third proportional to 379,860 and 563,934 is: 837,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,860 : 563,934 = 563,934 : x
  2. Step 2: Convert to fraction form
    379,860/563,934 = 563,934/x
  3. Step 3: Cross multiply
    379,860x = 563,934 × 563,934
  4. Step 4: Simplify right side
    379,860x = 318,021,556,356
  5. Step 5: Solve for x
    x = 318,021,556,356/379,860
  6. Step 6: Final answer
    x = 837,207.28

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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.