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Finding the Third Proportional to 441,409.50 and 683,346.38

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Solution

The third proportional to 441,409.50 and 683,346.38 is: 1,057,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,409.50 : 683,346.38 = 683,346.38 : x
  2. Step 2: Convert to fraction form
    441,409.50/683,346.38 = 683,346.38/x
  3. Step 3: Cross multiply
    441,409.50x = 683,346.38 × 683,346.38
  4. Step 4: Simplify right side
    441,409.50x = 466,962,268,225.64
  5. Step 5: Solve for x
    x = 466,962,268,225.64/441,409.50
  6. Step 6: Final answer
    x = 1,057,889.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.