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Finding the Third Proportional to 529,623.56 and 680,022

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Solution

The third proportional to 529,623.56 and 680,022 is: 873,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,623.56 : 680,022 = 680,022 : x
  2. Step 2: Convert to fraction form
    529,623.56/680,022 = 680,022/x
  3. Step 3: Cross multiply
    529,623.56x = 680,022 × 680,022
  4. Step 4: Simplify right side
    529,623.56x = 462,429,920,484
  5. Step 5: Solve for x
    x = 462,429,920,484/529,623.56
  6. Step 6: Final answer
    x = 873,129.43

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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.