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Finding the Third Proportional to 291,230 and 441,356

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Solution

The third proportional to 291,230 and 441,356 is: 668,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,230 : 441,356 = 441,356 : x
  2. Step 2: Convert to fraction form
    291,230/441,356 = 441,356/x
  3. Step 3: Cross multiply
    291,230x = 441,356 × 441,356
  4. Step 4: Simplify right side
    291,230x = 194,795,118,736
  5. Step 5: Solve for x
    x = 194,795,118,736/291,230
  6. Step 6: Final answer
    x = 668,870.37

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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.