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Finding the Third Proportional to 224,775 and 470,328.75

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Solution

The third proportional to 224,775 and 470,328.75 is: 984,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 470,328.75 = 470,328.75 : x
  2. Step 2: Convert to fraction form
    224,775/470,328.75 = 470,328.75/x
  3. Step 3: Cross multiply
    224,775x = 470,328.75 × 470,328.75
  4. Step 4: Simplify right side
    224,775x = 221,209,133,076.56
  5. Step 5: Solve for x
    x = 221,209,133,076.56/224,775
  6. Step 6: Final answer
    x = 984,135.84

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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.