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Finding the Third Proportional to 386,788 and 591,630

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Solution

The third proportional to 386,788 and 591,630 is: 904,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,788 : 591,630 = 591,630 : x
  2. Step 2: Convert to fraction form
    386,788/591,630 = 591,630/x
  3. Step 3: Cross multiply
    386,788x = 591,630 × 591,630
  4. Step 4: Simplify right side
    386,788x = 350,026,056,900
  5. Step 5: Solve for x
    x = 350,026,056,900/386,788
  6. Step 6: Final answer
    x = 904,955.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.