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Finding the Third Proportional to 334,266 and 705,756

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Solution

The third proportional to 334,266 and 705,756 is: 1,490,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,266 : 705,756 = 705,756 : x
  2. Step 2: Convert to fraction form
    334,266/705,756 = 705,756/x
  3. Step 3: Cross multiply
    334,266x = 705,756 × 705,756
  4. Step 4: Simplify right side
    334,266x = 498,091,531,536
  5. Step 5: Solve for x
    x = 498,091,531,536/334,266
  6. Step 6: Final answer
    x = 1,490,105.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.