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Finding the Third Proportional to 593,379 and 919,388

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Solution

The third proportional to 593,379 and 919,388 is: 1,424,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,379 : 919,388 = 919,388 : x
  2. Step 2: Convert to fraction form
    593,379/919,388 = 919,388/x
  3. Step 3: Cross multiply
    593,379x = 919,388 × 919,388
  4. Step 4: Simplify right side
    593,379x = 845,274,294,544
  5. Step 5: Solve for x
    x = 845,274,294,544/593,379
  6. Step 6: Final answer
    x = 1,424,509.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.