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Finding the Third Proportional to 303,842 and 471,691

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Solution

The third proportional to 303,842 and 471,691 is: 732,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,842 : 471,691 = 471,691 : x
  2. Step 2: Convert to fraction form
    303,842/471,691 = 471,691/x
  3. Step 3: Cross multiply
    303,842x = 471,691 × 471,691
  4. Step 4: Simplify right side
    303,842x = 222,492,399,481
  5. Step 5: Solve for x
    x = 222,492,399,481/303,842
  6. Step 6: Final answer
    x = 732,263.48

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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.