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Finding the Third Proportional to 451,264.50 and 980,336.25

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Solution

The third proportional to 451,264.50 and 980,336.25 is: 2,129,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,264.50 : 980,336.25 = 980,336.25 : x
  2. Step 2: Convert to fraction form
    451,264.50/980,336.25 = 980,336.25/x
  3. Step 3: Cross multiply
    451,264.50x = 980,336.25 × 980,336.25
  4. Step 4: Simplify right side
    451,264.50x = 961,059,163,064.06
  5. Step 5: Solve for x
    x = 961,059,163,064.06/451,264.50
  6. Step 6: Final answer
    x = 2,129,702.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.