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Finding the Third Proportional to 451,932.75 and 619,708.50

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Solution

The third proportional to 451,932.75 and 619,708.50 is: 849,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,932.75 : 619,708.50 = 619,708.50 : x
  2. Step 2: Convert to fraction form
    451,932.75/619,708.50 = 619,708.50/x
  3. Step 3: Cross multiply
    451,932.75x = 619,708.50 × 619,708.50
  4. Step 4: Simplify right side
    451,932.75x = 384,038,624,972.25
  5. Step 5: Solve for x
    x = 384,038,624,972.25/451,932.75
  6. Step 6: Final answer
    x = 849,769.41

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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.