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Finding the Third Proportional to 224,337 and 480,202

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Solution

The third proportional to 224,337 and 480,202 is: 1,027,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,337 : 480,202 = 480,202 : x
  2. Step 2: Convert to fraction form
    224,337/480,202 = 480,202/x
  3. Step 3: Cross multiply
    224,337x = 480,202 × 480,202
  4. Step 4: Simplify right side
    224,337x = 230,593,960,804
  5. Step 5: Solve for x
    x = 230,593,960,804/224,337
  6. Step 6: Final answer
    x = 1,027,890.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.