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Finding the Third Proportional to 199,642 and 437,564

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Solution

The third proportional to 199,642 and 437,564 is: 959,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642 : 437,564 = 437,564 : x
  2. Step 2: Convert to fraction form
    199,642/437,564 = 437,564/x
  3. Step 3: Cross multiply
    199,642x = 437,564 × 437,564
  4. Step 4: Simplify right side
    199,642x = 191,462,254,096
  5. Step 5: Solve for x
    x = 191,462,254,096/199,642
  6. Step 6: Final answer
    x = 959,027.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.