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Finding the Third Proportional to 374,234 and 816,184

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Solution

The third proportional to 374,234 and 816,184 is: 1,780,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,234 : 816,184 = 816,184 : x
  2. Step 2: Convert to fraction form
    374,234/816,184 = 816,184/x
  3. Step 3: Cross multiply
    374,234x = 816,184 × 816,184
  4. Step 4: Simplify right side
    374,234x = 666,156,321,856
  5. Step 5: Solve for x
    x = 666,156,321,856/374,234
  6. Step 6: Final answer
    x = 1,780,052.91

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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.