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Finding the Third Proportional to 262,940 and 575,635

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Solution

The third proportional to 262,940 and 575,635 is: 1,260,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,940 : 575,635 = 575,635 : x
  2. Step 2: Convert to fraction form
    262,940/575,635 = 575,635/x
  3. Step 3: Cross multiply
    262,940x = 575,635 × 575,635
  4. Step 4: Simplify right side
    262,940x = 331,355,653,225
  5. Step 5: Solve for x
    x = 331,355,653,225/262,940
  6. Step 6: Final answer
    x = 1,260,194.92

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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.