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Finding the Third Proportional to 227,336 and 473,200

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Solution

The third proportional to 227,336 and 473,200 is: 984,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,336 : 473,200 = 473,200 : x
  2. Step 2: Convert to fraction form
    227,336/473,200 = 473,200/x
  3. Step 3: Cross multiply
    227,336x = 473,200 × 473,200
  4. Step 4: Simplify right side
    227,336x = 223,918,240,000
  5. Step 5: Solve for x
    x = 223,918,240,000/227,336
  6. Step 6: Final answer
    x = 984,966.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.