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Finding the Third Proportional to 224,722.13 and 482,796

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Solution

The third proportional to 224,722.13 and 482,796 is: 1,037,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,722.13 : 482,796 = 482,796 : x
  2. Step 2: Convert to fraction form
    224,722.13/482,796 = 482,796/x
  3. Step 3: Cross multiply
    224,722.13x = 482,796 × 482,796
  4. Step 4: Simplify right side
    224,722.13x = 233,091,977,616
  5. Step 5: Solve for x
    x = 233,091,977,616/224,722.13
  6. Step 6: Final answer
    x = 1,037,245.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.