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Finding the Third Proportional to 598,516.59 and 841,797.56

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Solution

The third proportional to 598,516.59 and 841,797.56 is: 1,183,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,516.59 : 841,797.56 = 841,797.56 : x
  2. Step 2: Convert to fraction form
    598,516.59/841,797.56 = 841,797.56/x
  3. Step 3: Cross multiply
    598,516.59x = 841,797.56 × 841,797.56
  4. Step 4: Simplify right side
    598,516.59x = 708,623,136,230.94
  5. Step 5: Solve for x
    x = 708,623,136,230.94/598,516.59
  6. Step 6: Final answer
    x = 1,183,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.