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Finding the Third Proportional to 224,804.50 and 470,392.25

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Solution

The third proportional to 224,804.50 and 470,392.25 is: 984,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,804.50 : 470,392.25 = 470,392.25 : x
  2. Step 2: Convert to fraction form
    224,804.50/470,392.25 = 470,392.25/x
  3. Step 3: Cross multiply
    224,804.50x = 470,392.25 × 470,392.25
  4. Step 4: Simplify right side
    224,804.50x = 221,268,868,860.06
  5. Step 5: Solve for x
    x = 221,268,868,860.06/224,804.50
  6. Step 6: Final answer
    x = 984,272.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.