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Finding the Third Proportional to 268,045 and 416,769

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Solution

The third proportional to 268,045 and 416,769 is: 648,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,045 : 416,769 = 416,769 : x
  2. Step 2: Convert to fraction form
    268,045/416,769 = 416,769/x
  3. Step 3: Cross multiply
    268,045x = 416,769 × 416,769
  4. Step 4: Simplify right side
    268,045x = 173,696,399,361
  5. Step 5: Solve for x
    x = 173,696,399,361/268,045
  6. Step 6: Final answer
    x = 648,012.09

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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.