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Finding the Third Proportional to 529,632 and 680,033.25

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Solution

The third proportional to 529,632 and 680,033.25 is: 873,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,632 : 680,033.25 = 680,033.25 : x
  2. Step 2: Convert to fraction form
    529,632/680,033.25 = 680,033.25/x
  3. Step 3: Cross multiply
    529,632x = 680,033.25 × 680,033.25
  4. Step 4: Simplify right side
    529,632x = 462,445,221,105.56
  5. Step 5: Solve for x
    x = 462,445,221,105.56/529,632
  6. Step 6: Final answer
    x = 873,144.41

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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.