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Finding the Third Proportional to 224,822.25 and 465,493.50

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Solution

The third proportional to 224,822.25 and 465,493.50 is: 963,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,822.25 : 465,493.50 = 465,493.50 : x
  2. Step 2: Convert to fraction form
    224,822.25/465,493.50 = 465,493.50/x
  3. Step 3: Cross multiply
    224,822.25x = 465,493.50 × 465,493.50
  4. Step 4: Simplify right side
    224,822.25x = 216,684,198,542.25
  5. Step 5: Solve for x
    x = 216,684,198,542.25/224,822.25
  6. Step 6: Final answer
    x = 963,802.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.