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Finding the Third Proportional to 386,980.88 and 597,724.31

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Solution

The third proportional to 386,980.88 and 597,724.31 is: 923,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,980.88 : 597,724.31 = 597,724.31 : x
  2. Step 2: Convert to fraction form
    386,980.88/597,724.31 = 597,724.31/x
  3. Step 3: Cross multiply
    386,980.88x = 597,724.31 × 597,724.31
  4. Step 4: Simplify right side
    386,980.88x = 357,274,353,753.60
  5. Step 5: Solve for x
    x = 357,274,353,753.60/386,980.88
  6. Step 6: Final answer
    x = 923,235.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.