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Finding the Third Proportional to 377,299.69 and 560,821.22

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Solution

The third proportional to 377,299.69 and 560,821.22 is: 833,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,299.69 : 560,821.22 = 560,821.22 : x
  2. Step 2: Convert to fraction form
    377,299.69/560,821.22 = 560,821.22/x
  3. Step 3: Cross multiply
    377,299.69x = 560,821.22 × 560,821.22
  4. Step 4: Simplify right side
    377,299.69x = 314,520,439,400.24
  5. Step 5: Solve for x
    x = 314,520,439,400.24/377,299.69
  6. Step 6: Final answer
    x = 833,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.