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Finding the Third Proportional to 219,504 and 484,704

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Solution

The third proportional to 219,504 and 484,704 is: 1,070,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,504 : 484,704 = 484,704 : x
  2. Step 2: Convert to fraction form
    219,504/484,704 = 484,704/x
  3. Step 3: Cross multiply
    219,504x = 484,704 × 484,704
  4. Step 4: Simplify right side
    219,504x = 234,937,967,616
  5. Step 5: Solve for x
    x = 234,937,967,616/219,504
  6. Step 6: Final answer
    x = 1,070,312.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.