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Finding the Third Proportional to 281,953.50 and 619,984.50

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Solution

The third proportional to 281,953.50 and 619,984.50 is: 1,363,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,953.50 : 619,984.50 = 619,984.50 : x
  2. Step 2: Convert to fraction form
    281,953.50/619,984.50 = 619,984.50/x
  3. Step 3: Cross multiply
    281,953.50x = 619,984.50 × 619,984.50
  4. Step 4: Simplify right side
    281,953.50x = 384,380,780,240.25
  5. Step 5: Solve for x
    x = 384,380,780,240.25/281,953.50
  6. Step 6: Final answer
    x = 1,363,277.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.