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Finding the Third Proportional to 374,229 and 816,174

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Solution

The third proportional to 374,229 and 816,174 is: 1,780,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,229 : 816,174 = 816,174 : x
  2. Step 2: Convert to fraction form
    374,229/816,174 = 816,174/x
  3. Step 3: Cross multiply
    374,229x = 816,174 × 816,174
  4. Step 4: Simplify right side
    374,229x = 666,139,998,276
  5. Step 5: Solve for x
    x = 666,139,998,276/374,229
  6. Step 6: Final answer
    x = 1,780,033.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.