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Finding the Third Proportional to 211,446 and 440,386.88

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Solution

The third proportional to 211,446 and 440,386.88 is: 917,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,446 : 440,386.88 = 440,386.88 : x
  2. Step 2: Convert to fraction form
    211,446/440,386.88 = 440,386.88/x
  3. Step 3: Cross multiply
    211,446x = 440,386.88 × 440,386.88
  4. Step 4: Simplify right side
    211,446x = 193,940,599,672.27
  5. Step 5: Solve for x
    x = 193,940,599,672.27/211,446
  6. Step 6: Final answer
    x = 917,211.01

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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.