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Finding the Third Proportional to 387,890 and 599,115

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Solution

The third proportional to 387,890 and 599,115 is: 925,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,890 : 599,115 = 599,115 : x
  2. Step 2: Convert to fraction form
    387,890/599,115 = 599,115/x
  3. Step 3: Cross multiply
    387,890x = 599,115 × 599,115
  4. Step 4: Simplify right side
    387,890x = 358,938,783,225
  5. Step 5: Solve for x
    x = 358,938,783,225/387,890
  6. Step 6: Final answer
    x = 925,362.30

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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.