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Finding the Third Proportional to 433,960 and 914,576

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Solution

The third proportional to 433,960 and 914,576 is: 1,927,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,960 : 914,576 = 914,576 : x
  2. Step 2: Convert to fraction form
    433,960/914,576 = 914,576/x
  3. Step 3: Cross multiply
    433,960x = 914,576 × 914,576
  4. Step 4: Simplify right side
    433,960x = 836,449,259,776
  5. Step 5: Solve for x
    x = 836,449,259,776/433,960
  6. Step 6: Final answer
    x = 1,927,480.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.