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Finding the Third Proportional to 600,132 and 1,303,296

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Solution

The third proportional to 600,132 and 1,303,296 is: 2,830,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,132 : 1,303,296 = 1,303,296 : x
  2. Step 2: Convert to fraction form
    600,132/1,303,296 = 1,303,296/x
  3. Step 3: Cross multiply
    600,132x = 1,303,296 × 1,303,296
  4. Step 4: Simplify right side
    600,132x = 1,698,580,463,616
  5. Step 5: Solve for x
    x = 1,698,580,463,616/600,132
  6. Step 6: Final answer
    x = 2,830,344.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.