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Finding the Third Proportional to 451,962 and 619,746.75

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Solution

The third proportional to 451,962 and 619,746.75 is: 849,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,962 : 619,746.75 = 619,746.75 : x
  2. Step 2: Convert to fraction form
    451,962/619,746.75 = 619,746.75/x
  3. Step 3: Cross multiply
    451,962x = 619,746.75 × 619,746.75
  4. Step 4: Simplify right side
    451,962x = 384,086,034,135.56
  5. Step 5: Solve for x
    x = 384,086,034,135.56/451,962
  6. Step 6: Final answer
    x = 849,819.31

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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.