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Finding the Third Proportional to 218,996 and 473,000

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Solution

The third proportional to 218,996 and 473,000 is: 1,021,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,996 : 473,000 = 473,000 : x
  2. Step 2: Convert to fraction form
    218,996/473,000 = 473,000/x
  3. Step 3: Cross multiply
    218,996x = 473,000 × 473,000
  4. Step 4: Simplify right side
    218,996x = 223,729,000,000
  5. Step 5: Solve for x
    x = 223,729,000,000/218,996
  6. Step 6: Final answer
    x = 1,021,612.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.