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Finding the Third Proportional to 468,682 and 699,955

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Solution

The third proportional to 468,682 and 699,955 is: 1,045,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,682 : 699,955 = 699,955 : x
  2. Step 2: Convert to fraction form
    468,682/699,955 = 699,955/x
  3. Step 3: Cross multiply
    468,682x = 699,955 × 699,955
  4. Step 4: Simplify right side
    468,682x = 489,937,002,025
  5. Step 5: Solve for x
    x = 489,937,002,025/468,682
  6. Step 6: Final answer
    x = 1,045,350.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.