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Finding the Third Proportional to 514,772 and 782,653

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Solution

The third proportional to 514,772 and 782,653 is: 1,189,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,772 : 782,653 = 782,653 : x
  2. Step 2: Convert to fraction form
    514,772/782,653 = 782,653/x
  3. Step 3: Cross multiply
    514,772x = 782,653 × 782,653
  4. Step 4: Simplify right side
    514,772x = 612,545,718,409
  5. Step 5: Solve for x
    x = 612,545,718,409/514,772
  6. Step 6: Final answer
    x = 1,189,935.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.