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Finding the Third Proportional to 291,223 and 441,345

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Solution

The third proportional to 291,223 and 441,345 is: 668,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223 : 441,345 = 441,345 : x
  2. Step 2: Convert to fraction form
    291,223/441,345 = 441,345/x
  3. Step 3: Cross multiply
    291,223x = 441,345 × 441,345
  4. Step 4: Simplify right side
    291,223x = 194,785,409,025
  5. Step 5: Solve for x
    x = 194,785,409,025/291,223
  6. Step 6: Final answer
    x = 668,853.11

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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.