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Finding the Third Proportional to 289,486 and 440,014

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Solution

The third proportional to 289,486 and 440,014 is: 668,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,486 : 440,014 = 440,014 : x
  2. Step 2: Convert to fraction form
    289,486/440,014 = 440,014/x
  3. Step 3: Cross multiply
    289,486x = 440,014 × 440,014
  4. Step 4: Simplify right side
    289,486x = 193,612,320,196
  5. Step 5: Solve for x
    x = 193,612,320,196/289,486
  6. Step 6: Final answer
    x = 668,814.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.