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Finding the Third Proportional to 466,500.50 and 982,805.50

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Solution

The third proportional to 466,500.50 and 982,805.50 is: 2,070,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,500.50 : 982,805.50 = 982,805.50 : x
  2. Step 2: Convert to fraction form
    466,500.50/982,805.50 = 982,805.50/x
  3. Step 3: Cross multiply
    466,500.50x = 982,805.50 × 982,805.50
  4. Step 4: Simplify right side
    466,500.50x = 965,906,650,830.25
  5. Step 5: Solve for x
    x = 965,906,650,830.25/466,500.50
  6. Step 6: Final answer
    x = 2,070,537.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.