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Finding the Third Proportional to 362,760 and 787,647

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Solution

The third proportional to 362,760 and 787,647 is: 1,710,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,760 : 787,647 = 787,647 : x
  2. Step 2: Convert to fraction form
    362,760/787,647 = 787,647/x
  3. Step 3: Cross multiply
    362,760x = 787,647 × 787,647
  4. Step 4: Simplify right side
    362,760x = 620,387,796,609
  5. Step 5: Solve for x
    x = 620,387,796,609/362,760
  6. Step 6: Final answer
    x = 1,710,187.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.