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Finding the Third Proportional to 262,197 and 574,938

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Solution

The third proportional to 262,197 and 574,938 is: 1,260,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,197 : 574,938 = 574,938 : x
  2. Step 2: Convert to fraction form
    262,197/574,938 = 574,938/x
  3. Step 3: Cross multiply
    262,197x = 574,938 × 574,938
  4. Step 4: Simplify right side
    262,197x = 330,553,703,844
  5. Step 5: Solve for x
    x = 330,553,703,844/262,197
  6. Step 6: Final answer
    x = 1,260,707.42

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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.