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Finding the Third Proportional to 211,549.13 and 440,595.38

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Solution

The third proportional to 211,549.13 and 440,595.38 is: 917,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,549.13 : 440,595.38 = 440,595.38 : x
  2. Step 2: Convert to fraction form
    211,549.13/440,595.38 = 440,595.38/x
  3. Step 3: Cross multiply
    211,549.13x = 440,595.38 × 440,595.38
  4. Step 4: Simplify right side
    211,549.13x = 194,124,284,471.39
  5. Step 5: Solve for x
    x = 194,124,284,471.39/211,549.13
  6. Step 6: Final answer
    x = 917,632.18

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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.