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Finding the Third Proportional to 201,477 and 441,704

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Solution

The third proportional to 201,477 and 441,704 is: 968,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,477 : 441,704 = 441,704 : x
  2. Step 2: Convert to fraction form
    201,477/441,704 = 441,704/x
  3. Step 3: Cross multiply
    201,477x = 441,704 × 441,704
  4. Step 4: Simplify right side
    201,477x = 195,102,423,616
  5. Step 5: Solve for x
    x = 195,102,423,616/201,477
  6. Step 6: Final answer
    x = 968,360.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.