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Finding the Third Proportional to 451,928.25 and 619,701.75

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Solution

The third proportional to 451,928.25 and 619,701.75 is: 849,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,928.25 : 619,701.75 = 619,701.75 : x
  2. Step 2: Convert to fraction form
    451,928.25/619,701.75 = 619,701.75/x
  3. Step 3: Cross multiply
    451,928.25x = 619,701.75 × 619,701.75
  4. Step 4: Simplify right side
    451,928.25x = 384,030,258,953.06
  5. Step 5: Solve for x
    x = 384,030,258,953.06/451,928.25
  6. Step 6: Final answer
    x = 849,759.36

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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.