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Finding the Third Proportional to 374,235 and 816,186

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Solution

The third proportional to 374,235 and 816,186 is: 1,780,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,235 : 816,186 = 816,186 : x
  2. Step 2: Convert to fraction form
    374,235/816,186 = 816,186/x
  3. Step 3: Cross multiply
    374,235x = 816,186 × 816,186
  4. Step 4: Simplify right side
    374,235x = 666,159,586,596
  5. Step 5: Solve for x
    x = 666,159,586,596/374,235
  6. Step 6: Final answer
    x = 1,780,056.88

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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.