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Finding the Third Proportional to 267,416 and 582,810.50

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Solution

The third proportional to 267,416 and 582,810.50 is: 1,270,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,416 : 582,810.50 = 582,810.50 : x
  2. Step 2: Convert to fraction form
    267,416/582,810.50 = 582,810.50/x
  3. Step 3: Cross multiply
    267,416x = 582,810.50 × 582,810.50
  4. Step 4: Simplify right side
    267,416x = 339,668,078,910.25
  5. Step 5: Solve for x
    x = 339,668,078,910.25/267,416
  6. Step 6: Final answer
    x = 1,270,186.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.