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Finding the Third Proportional to 386,544 and 614,952

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Solution

The third proportional to 386,544 and 614,952 is: 978,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,544 : 614,952 = 614,952 : x
  2. Step 2: Convert to fraction form
    386,544/614,952 = 614,952/x
  3. Step 3: Cross multiply
    386,544x = 614,952 × 614,952
  4. Step 4: Simplify right side
    386,544x = 378,165,962,304
  5. Step 5: Solve for x
    x = 378,165,962,304/386,544
  6. Step 6: Final answer
    x = 978,325.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.