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Finding the Third Proportional to 224,808.50 and 470,399

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Solution

The third proportional to 224,808.50 and 470,399 is: 984,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808.50 : 470,399 = 470,399 : x
  2. Step 2: Convert to fraction form
    224,808.50/470,399 = 470,399/x
  3. Step 3: Cross multiply
    224,808.50x = 470,399 × 470,399
  4. Step 4: Simplify right side
    224,808.50x = 221,275,219,201
  5. Step 5: Solve for x
    x = 221,275,219,201/224,808.50
  6. Step 6: Final answer
    x = 984,283.15

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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.