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Finding the Third Proportional to 266,970 and 413,236

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Solution

The third proportional to 266,970 and 413,236 is: 639,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,970 : 413,236 = 413,236 : x
  2. Step 2: Convert to fraction form
    266,970/413,236 = 413,236/x
  3. Step 3: Cross multiply
    266,970x = 413,236 × 413,236
  4. Step 4: Simplify right side
    266,970x = 170,763,991,696
  5. Step 5: Solve for x
    x = 170,763,991,696/266,970
  6. Step 6: Final answer
    x = 639,637.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.