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Finding the Third Proportional to 275,429 and 583,937

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Solution

The third proportional to 275,429 and 583,937 is: 1,238,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429 : 583,937 = 583,937 : x
  2. Step 2: Convert to fraction form
    275,429/583,937 = 583,937/x
  3. Step 3: Cross multiply
    275,429x = 583,937 × 583,937
  4. Step 4: Simplify right side
    275,429x = 340,982,419,969
  5. Step 5: Solve for x
    x = 340,982,419,969/275,429
  6. Step 6: Final answer
    x = 1,238,004.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.