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Finding the Third Proportional to 386,972 and 597,970

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Solution

The third proportional to 386,972 and 597,970 is: 924,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,972 : 597,970 = 597,970 : x
  2. Step 2: Convert to fraction form
    386,972/597,970 = 597,970/x
  3. Step 3: Cross multiply
    386,972x = 597,970 × 597,970
  4. Step 4: Simplify right side
    386,972x = 357,568,120,900
  5. Step 5: Solve for x
    x = 357,568,120,900/386,972
  6. Step 6: Final answer
    x = 924,015.49

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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.