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Finding the Third Proportional to 239,450 and 348,644

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Solution

The third proportional to 239,450 and 348,644 is: 507,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,450 : 348,644 = 348,644 : x
  2. Step 2: Convert to fraction form
    239,450/348,644 = 348,644/x
  3. Step 3: Cross multiply
    239,450x = 348,644 × 348,644
  4. Step 4: Simplify right side
    239,450x = 121,552,638,736
  5. Step 5: Solve for x
    x = 121,552,638,736/239,450
  6. Step 6: Final answer
    x = 507,632.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.