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Finding the Third Proportional to 451,282.50 and 991,126.50

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Solution

The third proportional to 451,282.50 and 991,126.50 is: 2,176,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,282.50 : 991,126.50 = 991,126.50 : x
  2. Step 2: Convert to fraction form
    451,282.50/991,126.50 = 991,126.50/x
  3. Step 3: Cross multiply
    451,282.50x = 991,126.50 × 991,126.50
  4. Step 4: Simplify right side
    451,282.50x = 982,331,739,002.25
  5. Step 5: Solve for x
    x = 982,331,739,002.25/451,282.50
  6. Step 6: Final answer
    x = 2,176,755.67

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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.