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Finding the Third Proportional to 296,797.25 and 460,166.75

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Solution

The third proportional to 296,797.25 and 460,166.75 is: 713,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,797.25 : 460,166.75 = 460,166.75 : x
  2. Step 2: Convert to fraction form
    296,797.25/460,166.75 = 460,166.75/x
  3. Step 3: Cross multiply
    296,797.25x = 460,166.75 × 460,166.75
  4. Step 4: Simplify right side
    296,797.25x = 211,753,437,805.56
  5. Step 5: Solve for x
    x = 211,753,437,805.56/296,797.25
  6. Step 6: Final answer
    x = 713,461.59

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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.