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Finding the Third Proportional to 334,008 and 727,956

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Solution

The third proportional to 334,008 and 727,956 is: 1,586,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,008 : 727,956 = 727,956 : x
  2. Step 2: Convert to fraction form
    334,008/727,956 = 727,956/x
  3. Step 3: Cross multiply
    334,008x = 727,956 × 727,956
  4. Step 4: Simplify right side
    334,008x = 529,919,937,936
  5. Step 5: Solve for x
    x = 529,919,937,936/334,008
  6. Step 6: Final answer
    x = 1,586,548.64

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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.