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Finding the Third Proportional to 194,944 and 403,712

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Solution

The third proportional to 194,944 and 403,712 is: 836,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,944 : 403,712 = 403,712 : x
  2. Step 2: Convert to fraction form
    194,944/403,712 = 403,712/x
  3. Step 3: Cross multiply
    194,944x = 403,712 × 403,712
  4. Step 4: Simplify right side
    194,944x = 162,983,378,944
  5. Step 5: Solve for x
    x = 162,983,378,944/194,944
  6. Step 6: Final answer
    x = 836,052.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.