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Finding the Third Proportional to 253,644 and 379,773

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Solution

The third proportional to 253,644 and 379,773 is: 568,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,644 : 379,773 = 379,773 : x
  2. Step 2: Convert to fraction form
    253,644/379,773 = 379,773/x
  3. Step 3: Cross multiply
    253,644x = 379,773 × 379,773
  4. Step 4: Simplify right side
    253,644x = 144,227,531,529
  5. Step 5: Solve for x
    x = 144,227,531,529/253,644
  6. Step 6: Final answer
    x = 568,621.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.