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Finding the Third Proportional to 216,406.69 and 474,328.41

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Solution

The third proportional to 216,406.69 and 474,328.41 is: 1,039,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,406.69 : 474,328.41 = 474,328.41 : x
  2. Step 2: Convert to fraction form
    216,406.69/474,328.41 = 474,328.41/x
  3. Step 3: Cross multiply
    216,406.69x = 474,328.41 × 474,328.41
  4. Step 4: Simplify right side
    216,406.69x = 224,987,436,975.67
  5. Step 5: Solve for x
    x = 224,987,436,975.67/216,406.69
  6. Step 6: Final answer
    x = 1,039,651.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.