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Finding the Third Proportional to 296,568 and 463,104

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Solution

The third proportional to 296,568 and 463,104 is: 723,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,568 : 463,104 = 463,104 : x
  2. Step 2: Convert to fraction form
    296,568/463,104 = 463,104/x
  3. Step 3: Cross multiply
    296,568x = 463,104 × 463,104
  4. Step 4: Simplify right side
    296,568x = 214,465,314,816
  5. Step 5: Solve for x
    x = 214,465,314,816/296,568
  6. Step 6: Final answer
    x = 723,157.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.