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Finding the Third Proportional to 529,696.13 and 680,136.75

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Solution

The third proportional to 529,696.13 and 680,136.75 is: 873,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,696.13 : 680,136.75 = 680,136.75 : x
  2. Step 2: Convert to fraction form
    529,696.13/680,136.75 = 680,136.75/x
  3. Step 3: Cross multiply
    529,696.13x = 680,136.75 × 680,136.75
  4. Step 4: Simplify right side
    529,696.13x = 462,585,998,700.56
  5. Step 5: Solve for x
    x = 462,585,998,700.56/529,696.13
  6. Step 6: Final answer
    x = 873,304.48

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.