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Finding the Third Proportional to 267,742.50 and 563,097

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Solution

The third proportional to 267,742.50 and 563,097 is: 1,184,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,742.50 : 563,097 = 563,097 : x
  2. Step 2: Convert to fraction form
    267,742.50/563,097 = 563,097/x
  3. Step 3: Cross multiply
    267,742.50x = 563,097 × 563,097
  4. Step 4: Simplify right side
    267,742.50x = 317,078,231,409
  5. Step 5: Solve for x
    x = 317,078,231,409/267,742.50
  6. Step 6: Final answer
    x = 1,184,265.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.