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Finding the Third Proportional to 386,184 and 596,790

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Solution

The third proportional to 386,184 and 596,790 is: 922,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,184 : 596,790 = 596,790 : x
  2. Step 2: Convert to fraction form
    386,184/596,790 = 596,790/x
  3. Step 3: Cross multiply
    386,184x = 596,790 × 596,790
  4. Step 4: Simplify right side
    386,184x = 356,158,304,100
  5. Step 5: Solve for x
    x = 356,158,304,100/386,184
  6. Step 6: Final answer
    x = 922,250.29

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