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Finding the Third Proportional to 237,419 and 483,629

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Solution

The third proportional to 237,419 and 483,629 is: 985,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,419 : 483,629 = 483,629 : x
  2. Step 2: Convert to fraction form
    237,419/483,629 = 483,629/x
  3. Step 3: Cross multiply
    237,419x = 483,629 × 483,629
  4. Step 4: Simplify right side
    237,419x = 233,897,009,641
  5. Step 5: Solve for x
    x = 233,897,009,641/237,419
  6. Step 6: Final answer
    x = 985,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.