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Finding the Third Proportional to 291,543 and 449,765

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Solution

The third proportional to 291,543 and 449,765 is: 693,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,543 : 449,765 = 449,765 : x
  2. Step 2: Convert to fraction form
    291,543/449,765 = 449,765/x
  3. Step 3: Cross multiply
    291,543x = 449,765 × 449,765
  4. Step 4: Simplify right side
    291,543x = 202,288,555,225
  5. Step 5: Solve for x
    x = 202,288,555,225/291,543
  6. Step 6: Final answer
    x = 693,854.96

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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.