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Finding the Third Proportional to 291,336 and 439,672

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Solution

The third proportional to 291,336 and 439,672 is: 663,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,336 : 439,672 = 439,672 : x
  2. Step 2: Convert to fraction form
    291,336/439,672 = 439,672/x
  3. Step 3: Cross multiply
    291,336x = 439,672 × 439,672
  4. Step 4: Simplify right side
    291,336x = 193,311,467,584
  5. Step 5: Solve for x
    x = 193,311,467,584/291,336
  6. Step 6: Final answer
    x = 663,534.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.