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Finding the Third Proportional to 291,234 and 436,419

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Solution

The third proportional to 291,234 and 436,419 is: 653,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234 : 436,419 = 436,419 : x
  2. Step 2: Convert to fraction form
    291,234/436,419 = 436,419/x
  3. Step 3: Cross multiply
    291,234x = 436,419 × 436,419
  4. Step 4: Simplify right side
    291,234x = 190,461,543,561
  5. Step 5: Solve for x
    x = 190,461,543,561/291,234
  6. Step 6: Final answer
    x = 653,981.14

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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.