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Finding the Third Proportional to 303,766 and 471,565

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Solution

The third proportional to 303,766 and 471,565 is: 732,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,766 : 471,565 = 471,565 : x
  2. Step 2: Convert to fraction form
    303,766/471,565 = 471,565/x
  3. Step 3: Cross multiply
    303,766x = 471,565 × 471,565
  4. Step 4: Simplify right side
    303,766x = 222,373,549,225
  5. Step 5: Solve for x
    x = 222,373,549,225/303,766
  6. Step 6: Final answer
    x = 732,055.43

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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.