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Finding the Third Proportional to 291,828 and 437,094

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Solution

The third proportional to 291,828 and 437,094 is: 654,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,828 : 437,094 = 437,094 : x
  2. Step 2: Convert to fraction form
    291,828/437,094 = 437,094/x
  3. Step 3: Cross multiply
    291,828x = 437,094 × 437,094
  4. Step 4: Simplify right side
    291,828x = 191,051,164,836
  5. Step 5: Solve for x
    x = 191,051,164,836/291,828
  6. Step 6: Final answer
    x = 654,670.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.