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Finding the Third Proportional to 514,197 and 788,791.50

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Solution

The third proportional to 514,197 and 788,791.50 is: 1,210,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,197 : 788,791.50 = 788,791.50 : x
  2. Step 2: Convert to fraction form
    514,197/788,791.50 = 788,791.50/x
  3. Step 3: Cross multiply
    514,197x = 788,791.50 × 788,791.50
  4. Step 4: Simplify right side
    514,197x = 622,192,030,472.25
  5. Step 5: Solve for x
    x = 622,192,030,472.25/514,197
  6. Step 6: Final answer
    x = 1,210,026.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.