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Finding the Third Proportional to 266,715 and 629,602

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Solution

The third proportional to 266,715 and 629,602 is: 1,486,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,715 : 629,602 = 629,602 : x
  2. Step 2: Convert to fraction form
    266,715/629,602 = 629,602/x
  3. Step 3: Cross multiply
    266,715x = 629,602 × 629,602
  4. Step 4: Simplify right side
    266,715x = 396,398,678,404
  5. Step 5: Solve for x
    x = 396,398,678,404/266,715
  6. Step 6: Final answer
    x = 1,486,225.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.