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Finding the Third Proportional to 463,423.50 and 680,100.75

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Solution

The third proportional to 463,423.50 and 680,100.75 is: 998,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,423.50 : 680,100.75 = 680,100.75 : x
  2. Step 2: Convert to fraction form
    463,423.50/680,100.75 = 680,100.75/x
  3. Step 3: Cross multiply
    463,423.50x = 680,100.75 × 680,100.75
  4. Step 4: Simplify right side
    463,423.50x = 462,537,030,150.56
  5. Step 5: Solve for x
    x = 462,537,030,150.56/463,423.50
  6. Step 6: Final answer
    x = 998,087.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.