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Finding the Third Proportional to 291,008 and 437,592

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Solution

The third proportional to 291,008 and 437,592 is: 658,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,008 : 437,592 = 437,592 : x
  2. Step 2: Convert to fraction form
    291,008/437,592 = 437,592/x
  3. Step 3: Cross multiply
    291,008x = 437,592 × 437,592
  4. Step 4: Simplify right side
    291,008x = 191,486,758,464
  5. Step 5: Solve for x
    x = 191,486,758,464/291,008
  6. Step 6: Final answer
    x = 658,012.01

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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.