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Finding the Third Proportional to 281,650.50 and 626,271

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Solution

The third proportional to 281,650.50 and 626,271 is: 1,392,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,650.50 : 626,271 = 626,271 : x
  2. Step 2: Convert to fraction form
    281,650.50/626,271 = 626,271/x
  3. Step 3: Cross multiply
    281,650.50x = 626,271 × 626,271
  4. Step 4: Simplify right side
    281,650.50x = 392,215,365,441
  5. Step 5: Solve for x
    x = 392,215,365,441/281,650.50
  6. Step 6: Final answer
    x = 1,392,560.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.