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Finding the Third Proportional to 211,550 and 440,594

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Solution

The third proportional to 211,550 and 440,594 is: 917,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,550 : 440,594 = 440,594 : x
  2. Step 2: Convert to fraction form
    211,550/440,594 = 440,594/x
  3. Step 3: Cross multiply
    211,550x = 440,594 × 440,594
  4. Step 4: Simplify right side
    211,550x = 194,123,072,836
  5. Step 5: Solve for x
    x = 194,123,072,836/211,550
  6. Step 6: Final answer
    x = 917,622.66

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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.