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Finding the Third Proportional to 441,292 and 661,346

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Solution

The third proportional to 441,292 and 661,346 is: 991,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,292 : 661,346 = 661,346 : x
  2. Step 2: Convert to fraction form
    441,292/661,346 = 661,346/x
  3. Step 3: Cross multiply
    441,292x = 661,346 × 661,346
  4. Step 4: Simplify right side
    441,292x = 437,378,531,716
  5. Step 5: Solve for x
    x = 437,378,531,716/441,292
  6. Step 6: Final answer
    x = 991,131.79

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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.