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Finding the Third Proportional to 439,200 and 958,716

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Solution

The third proportional to 439,200 and 958,716 is: 2,092,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,200 : 958,716 = 958,716 : x
  2. Step 2: Convert to fraction form
    439,200/958,716 = 958,716/x
  3. Step 3: Cross multiply
    439,200x = 958,716 × 958,716
  4. Step 4: Simplify right side
    439,200x = 919,136,368,656
  5. Step 5: Solve for x
    x = 919,136,368,656/439,200
  6. Step 6: Final answer
    x = 2,092,751.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.