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Finding the Third Proportional to 334,080 and 511,704

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Solution

The third proportional to 334,080 and 511,704 is: 783,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,080 : 511,704 = 511,704 : x
  2. Step 2: Convert to fraction form
    334,080/511,704 = 511,704/x
  3. Step 3: Cross multiply
    334,080x = 511,704 × 511,704
  4. Step 4: Simplify right side
    334,080x = 261,840,983,616
  5. Step 5: Solve for x
    x = 261,840,983,616/334,080
  6. Step 6: Final answer
    x = 783,767.31

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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.