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Finding the Third Proportional to 389,115 and 600,935

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Solution

The third proportional to 389,115 and 600,935 is: 928,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,115 : 600,935 = 600,935 : x
  2. Step 2: Convert to fraction form
    389,115/600,935 = 600,935/x
  3. Step 3: Cross multiply
    389,115x = 600,935 × 600,935
  4. Step 4: Simplify right side
    389,115x = 361,122,874,225
  5. Step 5: Solve for x
    x = 361,122,874,225/389,115
  6. Step 6: Final answer
    x = 928,062.07

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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.