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Finding the Third Proportional to 421,327 and 596,165

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Solution

The third proportional to 421,327 and 596,165 is: 843,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,327 : 596,165 = 596,165 : x
  2. Step 2: Convert to fraction form
    421,327/596,165 = 596,165/x
  3. Step 3: Cross multiply
    421,327x = 596,165 × 596,165
  4. Step 4: Simplify right side
    421,327x = 355,412,707,225
  5. Step 5: Solve for x
    x = 355,412,707,225/421,327
  6. Step 6: Final answer
    x = 843,555.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.