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Finding the Third Proportional to 359,162 and 785,635

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Solution

The third proportional to 359,162 and 785,635 is: 1,718,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,162 : 785,635 = 785,635 : x
  2. Step 2: Convert to fraction form
    359,162/785,635 = 785,635/x
  3. Step 3: Cross multiply
    359,162x = 785,635 × 785,635
  4. Step 4: Simplify right side
    359,162x = 617,222,353,225
  5. Step 5: Solve for x
    x = 617,222,353,225/359,162
  6. Step 6: Final answer
    x = 1,718,506.84

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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.