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Finding the Third Proportional to 384,474 and 591,770

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Solution

The third proportional to 384,474 and 591,770 is: 910,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,474 : 591,770 = 591,770 : x
  2. Step 2: Convert to fraction form
    384,474/591,770 = 591,770/x
  3. Step 3: Cross multiply
    384,474x = 591,770 × 591,770
  4. Step 4: Simplify right side
    384,474x = 350,191,732,900
  5. Step 5: Solve for x
    x = 350,191,732,900/384,474
  6. Step 6: Final answer
    x = 910,833.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.