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Finding the Third Proportional to 407,350.50 and 617,586

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Solution

The third proportional to 407,350.50 and 617,586 is: 936,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,350.50 : 617,586 = 617,586 : x
  2. Step 2: Convert to fraction form
    407,350.50/617,586 = 617,586/x
  3. Step 3: Cross multiply
    407,350.50x = 617,586 × 617,586
  4. Step 4: Simplify right side
    407,350.50x = 381,412,467,396
  5. Step 5: Solve for x
    x = 381,412,467,396/407,350.50
  6. Step 6: Final answer
    x = 936,325.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.