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Finding the Third Proportional to 266,619 and 424,014

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Solution

The third proportional to 266,619 and 424,014 is: 674,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,619 : 424,014 = 424,014 : x
  2. Step 2: Convert to fraction form
    266,619/424,014 = 424,014/x
  3. Step 3: Cross multiply
    266,619x = 424,014 × 424,014
  4. Step 4: Simplify right side
    266,619x = 179,787,872,196
  5. Step 5: Solve for x
    x = 179,787,872,196/266,619
  6. Step 6: Final answer
    x = 674,325.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.