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Finding the Third Proportional to 526,827.80 and 582,186.23

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Solution

The third proportional to 526,827.80 and 582,186.23 is: 643,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,827.80 : 582,186.23 = 582,186.23 : x
  2. Step 2: Convert to fraction form
    526,827.80/582,186.23 = 582,186.23/x
  3. Step 3: Cross multiply
    526,827.80x = 582,186.23 × 582,186.23
  4. Step 4: Simplify right side
    526,827.80x = 338,940,811,495.74
  5. Step 5: Solve for x
    x = 338,940,811,495.74/526,827.80
  6. Step 6: Final answer
    x = 643,361.67

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.