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Finding the Third Proportional to 386,304 and 596,952

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Solution

The third proportional to 386,304 and 596,952 is: 922,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,304 : 596,952 = 596,952 : x
  2. Step 2: Convert to fraction form
    386,304/596,952 = 596,952/x
  3. Step 3: Cross multiply
    386,304x = 596,952 × 596,952
  4. Step 4: Simplify right side
    386,304x = 356,351,690,304
  5. Step 5: Solve for x
    x = 356,351,690,304/386,304
  6. Step 6: Final answer
    x = 922,464.41

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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.