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Finding the Third Proportional to 291,134 and 441,953

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Solution

The third proportional to 291,134 and 441,953 is: 670,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134 : 441,953 = 441,953 : x
  2. Step 2: Convert to fraction form
    291,134/441,953 = 441,953/x
  3. Step 3: Cross multiply
    291,134x = 441,953 × 441,953
  4. Step 4: Simplify right side
    291,134x = 195,322,454,209
  5. Step 5: Solve for x
    x = 195,322,454,209/291,134
  6. Step 6: Final answer
    x = 670,902.25

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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.