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Finding the Third Proportional to 331,701 and 715,458

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Solution

The third proportional to 331,701 and 715,458 is: 1,543,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,701 : 715,458 = 715,458 : x
  2. Step 2: Convert to fraction form
    331,701/715,458 = 715,458/x
  3. Step 3: Cross multiply
    331,701x = 715,458 × 715,458
  4. Step 4: Simplify right side
    331,701x = 511,880,149,764
  5. Step 5: Solve for x
    x = 511,880,149,764/331,701
  6. Step 6: Final answer
    x = 1,543,197.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.