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Finding the Third Proportional to 451,629 and 619,296.75

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Solution

The third proportional to 451,629 and 619,296.75 is: 849,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,629 : 619,296.75 = 619,296.75 : x
  2. Step 2: Convert to fraction form
    451,629/619,296.75 = 619,296.75/x
  3. Step 3: Cross multiply
    451,629x = 619,296.75 × 619,296.75
  4. Step 4: Simplify right side
    451,629x = 383,528,464,560.56
  5. Step 5: Solve for x
    x = 383,528,464,560.56/451,629
  6. Step 6: Final answer
    x = 849,211.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.