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Finding the Third Proportional to 362,777 and 787,695

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Solution

The third proportional to 362,777 and 787,695 is: 1,710,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,777 : 787,695 = 787,695 : x
  2. Step 2: Convert to fraction form
    362,777/787,695 = 787,695/x
  3. Step 3: Cross multiply
    362,777x = 787,695 × 787,695
  4. Step 4: Simplify right side
    362,777x = 620,463,413,025
  5. Step 5: Solve for x
    x = 620,463,413,025/362,777
  6. Step 6: Final answer
    x = 1,710,316.29

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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.