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Finding the Third Proportional to 289,474 and 610,052

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Solution

The third proportional to 289,474 and 610,052 is: 1,285,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474 : 610,052 = 610,052 : x
  2. Step 2: Convert to fraction form
    289,474/610,052 = 610,052/x
  3. Step 3: Cross multiply
    289,474x = 610,052 × 610,052
  4. Step 4: Simplify right side
    289,474x = 372,163,442,704
  5. Step 5: Solve for x
    x = 372,163,442,704/289,474
  6. Step 6: Final answer
    x = 1,285,654.13

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Why These Related Problems?

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