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Finding the Third Proportional to 390,530 and 590,115

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Solution

The third proportional to 390,530 and 590,115 is: 891,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,530 : 590,115 = 590,115 : x
  2. Step 2: Convert to fraction form
    390,530/590,115 = 590,115/x
  3. Step 3: Cross multiply
    390,530x = 590,115 × 590,115
  4. Step 4: Simplify right side
    390,530x = 348,235,713,225
  5. Step 5: Solve for x
    x = 348,235,713,225/390,530
  6. Step 6: Final answer
    x = 891,700.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.