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Finding the Third Proportional to 402,242 and 593,976

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Solution

The third proportional to 402,242 and 593,976 is: 877,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,242 : 593,976 = 593,976 : x
  2. Step 2: Convert to fraction form
    402,242/593,976 = 593,976/x
  3. Step 3: Cross multiply
    402,242x = 593,976 × 593,976
  4. Step 4: Simplify right side
    402,242x = 352,807,488,576
  5. Step 5: Solve for x
    x = 352,807,488,576/402,242
  6. Step 6: Final answer
    x = 877,102.56

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Why These Related Problems?

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