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Finding the Third Proportional to 266,712 and 629,594

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Solution

The third proportional to 266,712 and 629,594 is: 1,486,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,712 : 629,594 = 629,594 : x
  2. Step 2: Convert to fraction form
    266,712/629,594 = 629,594/x
  3. Step 3: Cross multiply
    266,712x = 629,594 × 629,594
  4. Step 4: Simplify right side
    266,712x = 396,388,604,836
  5. Step 5: Solve for x
    x = 396,388,604,836/266,712
  6. Step 6: Final answer
    x = 1,486,204.61

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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.