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Finding the Third Proportional to 303,771 and 471,570

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Solution

The third proportional to 303,771 and 471,570 is: 732,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,771 : 471,570 = 471,570 : x
  2. Step 2: Convert to fraction form
    303,771/471,570 = 471,570/x
  3. Step 3: Cross multiply
    303,771x = 471,570 × 471,570
  4. Step 4: Simplify right side
    303,771x = 222,378,264,900
  5. Step 5: Solve for x
    x = 222,378,264,900/303,771
  6. Step 6: Final answer
    x = 732,058.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.