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Finding the Third Proportional to 211,548 and 440,592.75

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Solution

The third proportional to 211,548 and 440,592.75 is: 917,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,548 : 440,592.75 = 440,592.75 : x
  2. Step 2: Convert to fraction form
    211,548/440,592.75 = 440,592.75/x
  3. Step 3: Cross multiply
    211,548x = 440,592.75 × 440,592.75
  4. Step 4: Simplify right side
    211,548x = 194,121,971,352.56
  5. Step 5: Solve for x
    x = 194,121,971,352.56/211,548
  6. Step 6: Final answer
    x = 917,626.12

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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.