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Finding the Third Proportional to 266,037 and 544,503

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Solution

The third proportional to 266,037 and 544,503 is: 1,114,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,037 : 544,503 = 544,503 : x
  2. Step 2: Convert to fraction form
    266,037/544,503 = 544,503/x
  3. Step 3: Cross multiply
    266,037x = 544,503 × 544,503
  4. Step 4: Simplify right side
    266,037x = 296,483,517,009
  5. Step 5: Solve for x
    x = 296,483,517,009/266,037
  6. Step 6: Final answer
    x = 1,114,444.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.