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Finding the Third Proportional to 635,202 and 982,813.50

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Solution

The third proportional to 635,202 and 982,813.50 is: 1,520,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,202 : 982,813.50 = 982,813.50 : x
  2. Step 2: Convert to fraction form
    635,202/982,813.50 = 982,813.50/x
  3. Step 3: Cross multiply
    635,202x = 982,813.50 × 982,813.50
  4. Step 4: Simplify right side
    635,202x = 965,922,375,782.25
  5. Step 5: Solve for x
    x = 965,922,375,782.25/635,202
  6. Step 6: Final answer
    x = 1,520,653.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.