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Finding the Third Proportional to 266,946 and 399,627

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Solution

The third proportional to 266,946 and 399,627 is: 598,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,946 : 399,627 = 399,627 : x
  2. Step 2: Convert to fraction form
    266,946/399,627 = 399,627/x
  3. Step 3: Cross multiply
    266,946x = 399,627 × 399,627
  4. Step 4: Simplify right side
    266,946x = 159,701,739,129
  5. Step 5: Solve for x
    x = 159,701,739,129/266,946
  6. Step 6: Final answer
    x = 598,254.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.