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Finding the Third Proportional to 655,813.50 and 964,965.75

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Solution

The third proportional to 655,813.50 and 964,965.75 is: 1,419,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,813.50 : 964,965.75 = 964,965.75 : x
  2. Step 2: Convert to fraction form
    655,813.50/964,965.75 = 964,965.75/x
  3. Step 3: Cross multiply
    655,813.50x = 964,965.75 × 964,965.75
  4. Step 4: Simplify right side
    655,813.50x = 931,158,898,673.06
  5. Step 5: Solve for x
    x = 931,158,898,673.06/655,813.50
  6. Step 6: Final answer
    x = 1,419,853.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.