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Finding the Third Proportional to 657,922.50 and 991,743.75

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Solution

The third proportional to 657,922.50 and 991,743.75 is: 1,494,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,922.50 : 991,743.75 = 991,743.75 : x
  2. Step 2: Convert to fraction form
    657,922.50/991,743.75 = 991,743.75/x
  3. Step 3: Cross multiply
    657,922.50x = 991,743.75 × 991,743.75
  4. Step 4: Simplify right side
    657,922.50x = 983,555,665,664.06
  5. Step 5: Solve for x
    x = 983,555,665,664.06/657,922.50
  6. Step 6: Final answer
    x = 1,494,941.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.