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Finding the Third Proportional to 224,588 and 484,796

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Solution

The third proportional to 224,588 and 484,796 is: 1,046,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588 : 484,796 = 484,796 : x
  2. Step 2: Convert to fraction form
    224,588/484,796 = 484,796/x
  3. Step 3: Cross multiply
    224,588x = 484,796 × 484,796
  4. Step 4: Simplify right side
    224,588x = 235,027,161,616
  5. Step 5: Solve for x
    x = 235,027,161,616/224,588
  6. Step 6: Final answer
    x = 1,046,481.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.