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Finding the Third Proportional to 408,672.84 and 560,995.88

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Solution

The third proportional to 408,672.84 and 560,995.88 is: 770,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.84 : 560,995.88 = 560,995.88 : x
  2. Step 2: Convert to fraction form
    408,672.84/560,995.88 = 560,995.88/x
  3. Step 3: Cross multiply
    408,672.84x = 560,995.88 × 560,995.88
  4. Step 4: Simplify right side
    408,672.84x = 314,716,371,767.02
  5. Step 5: Solve for x
    x = 314,716,371,767.02/408,672.84
  6. Step 6: Final answer
    x = 770,093.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.