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Finding the Third Proportional to 224,818 and 470,420

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Solution

The third proportional to 224,818 and 470,420 is: 984,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,818 : 470,420 = 470,420 : x
  2. Step 2: Convert to fraction form
    224,818/470,420 = 470,420/x
  3. Step 3: Cross multiply
    224,818x = 470,420 × 470,420
  4. Step 4: Simplify right side
    224,818x = 221,294,976,400
  5. Step 5: Solve for x
    x = 221,294,976,400/224,818
  6. Step 6: Final answer
    x = 984,329.44

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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.