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Finding the Third Proportional to 267,813 and 563,220

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Solution

The third proportional to 267,813 and 563,220 is: 1,184,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,813 : 563,220 = 563,220 : x
  2. Step 2: Convert to fraction form
    267,813/563,220 = 563,220/x
  3. Step 3: Cross multiply
    267,813x = 563,220 × 563,220
  4. Step 4: Simplify right side
    267,813x = 317,216,768,400
  5. Step 5: Solve for x
    x = 317,216,768,400/267,813
  6. Step 6: Final answer
    x = 1,184,471.14

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Why These Related Problems?

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