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Finding the Third Proportional to 289,666.13 and 443,117.25

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Solution

The third proportional to 289,666.13 and 443,117.25 is: 677,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666.13 : 443,117.25 = 443,117.25 : x
  2. Step 2: Convert to fraction form
    289,666.13/443,117.25 = 443,117.25/x
  3. Step 3: Cross multiply
    289,666.13x = 443,117.25 × 443,117.25
  4. Step 4: Simplify right side
    289,666.13x = 196,352,897,247.56
  5. Step 5: Solve for x
    x = 196,352,897,247.56/289,666.13
  6. Step 6: Final answer
    x = 677,859.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.