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Finding the Third Proportional to 334,186 and 511,863

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Solution

The third proportional to 334,186 and 511,863 is: 784,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,186 : 511,863 = 511,863 : x
  2. Step 2: Convert to fraction form
    334,186/511,863 = 511,863/x
  3. Step 3: Cross multiply
    334,186x = 511,863 × 511,863
  4. Step 4: Simplify right side
    334,186x = 262,003,730,769
  5. Step 5: Solve for x
    x = 262,003,730,769/334,186
  6. Step 6: Final answer
    x = 784,005.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.