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Finding the Third Proportional to 211,549.50 and 440,596

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Solution

The third proportional to 211,549.50 and 440,596 is: 917,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,549.50 : 440,596 = 440,596 : x
  2. Step 2: Convert to fraction form
    211,549.50/440,596 = 440,596/x
  3. Step 3: Cross multiply
    211,549.50x = 440,596 × 440,596
  4. Step 4: Simplify right side
    211,549.50x = 194,124,835,216
  5. Step 5: Solve for x
    x = 194,124,835,216/211,549.50
  6. Step 6: Final answer
    x = 917,633.16

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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.