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Finding the Third Proportional to 330,628 and 716,192

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Solution

The third proportional to 330,628 and 716,192 is: 1,551,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,628 : 716,192 = 716,192 : x
  2. Step 2: Convert to fraction form
    330,628/716,192 = 716,192/x
  3. Step 3: Cross multiply
    330,628x = 716,192 × 716,192
  4. Step 4: Simplify right side
    330,628x = 512,930,980,864
  5. Step 5: Solve for x
    x = 512,930,980,864/330,628
  6. Step 6: Final answer
    x = 1,551,383.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.