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Finding the Third Proportional to 291,541.50 and 449,765.50

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Solution

The third proportional to 291,541.50 and 449,765.50 is: 693,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,541.50 : 449,765.50 = 449,765.50 : x
  2. Step 2: Convert to fraction form
    291,541.50/449,765.50 = 449,765.50/x
  3. Step 3: Cross multiply
    291,541.50x = 449,765.50 × 449,765.50
  4. Step 4: Simplify right side
    291,541.50x = 202,289,004,990.25
  5. Step 5: Solve for x
    x = 202,289,004,990.25/291,541.50
  6. Step 6: Final answer
    x = 693,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.