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Finding the Third Proportional to 232,628 and 348,932

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Solution

The third proportional to 232,628 and 348,932 is: 523,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,628 : 348,932 = 348,932 : x
  2. Step 2: Convert to fraction form
    232,628/348,932 = 348,932/x
  3. Step 3: Cross multiply
    232,628x = 348,932 × 348,932
  4. Step 4: Simplify right side
    232,628x = 121,753,540,624
  5. Step 5: Solve for x
    x = 121,753,540,624/232,628
  6. Step 6: Final answer
    x = 523,383.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.