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Finding the Third Proportional to 211,552 and 440,598

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Solution

The third proportional to 211,552 and 440,598 is: 917,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,552 : 440,598 = 440,598 : x
  2. Step 2: Convert to fraction form
    211,552/440,598 = 440,598/x
  3. Step 3: Cross multiply
    211,552x = 440,598 × 440,598
  4. Step 4: Simplify right side
    211,552x = 194,126,597,604
  5. Step 5: Solve for x
    x = 194,126,597,604/211,552
  6. Step 6: Final answer
    x = 917,630.64

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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.