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Finding the Third Proportional to 386,960 and 597,952

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Solution

The third proportional to 386,960 and 597,952 is: 923,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,960 : 597,952 = 597,952 : x
  2. Step 2: Convert to fraction form
    386,960/597,952 = 597,952/x
  3. Step 3: Cross multiply
    386,960x = 597,952 × 597,952
  4. Step 4: Simplify right side
    386,960x = 357,546,594,304
  5. Step 5: Solve for x
    x = 357,546,594,304/386,960
  6. Step 6: Final answer
    x = 923,988.51

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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.