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Finding the Third Proportional to 386,976 and 597,952

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Solution

The third proportional to 386,976 and 597,952 is: 923,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,976 : 597,952 = 597,952 : x
  2. Step 2: Convert to fraction form
    386,976/597,952 = 597,952/x
  3. Step 3: Cross multiply
    386,976x = 597,952 × 597,952
  4. Step 4: Simplify right side
    386,976x = 357,546,594,304
  5. Step 5: Solve for x
    x = 357,546,594,304/386,976
  6. Step 6: Final answer
    x = 923,950.31

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Why These Related Problems?

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