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Finding the Third Proportional to 291,218 and 436,395

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Solution

The third proportional to 291,218 and 436,395 is: 653,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218 : 436,395 = 436,395 : x
  2. Step 2: Convert to fraction form
    291,218/436,395 = 436,395/x
  3. Step 3: Cross multiply
    291,218x = 436,395 × 436,395
  4. Step 4: Simplify right side
    291,218x = 190,440,596,025
  5. Step 5: Solve for x
    x = 190,440,596,025/291,218
  6. Step 6: Final answer
    x = 653,945.14

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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.