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Finding the Third Proportional to 466,603.50 and 980,200.50

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Solution

The third proportional to 466,603.50 and 980,200.50 is: 2,059,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,603.50 : 980,200.50 = 980,200.50 : x
  2. Step 2: Convert to fraction form
    466,603.50/980,200.50 = 980,200.50/x
  3. Step 3: Cross multiply
    466,603.50x = 980,200.50 × 980,200.50
  4. Step 4: Simplify right side
    466,603.50x = 960,793,020,200.25
  5. Step 5: Solve for x
    x = 960,793,020,200.25/466,603.50
  6. Step 6: Final answer
    x = 2,059,120.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.