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Finding the Third Proportional to 221,616 and 488,808

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Solution

The third proportional to 221,616 and 488,808 is: 1,078,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,616 : 488,808 = 488,808 : x
  2. Step 2: Convert to fraction form
    221,616/488,808 = 488,808/x
  3. Step 3: Cross multiply
    221,616x = 488,808 × 488,808
  4. Step 4: Simplify right side
    221,616x = 238,933,260,864
  5. Step 5: Solve for x
    x = 238,933,260,864/221,616
  6. Step 6: Final answer
    x = 1,078,140.84

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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.